Search results for: NONLIN
-
Nonlinear impedance of Bi2VO5.5 glass-ceramic heat-treated at 913 K was measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrical properties of Bi2VO5.5 glass-ceramic heat-treated at 913 K was measured by impedance spectroscopy method.
-
Nonlinear impedance of Bi2VO5.5 glass-ceramic heat-treated at 913 K was measured with impedance spectroscopy method at low temperature region
Open Research DataThe nonlinear electrical properties of Bi2VO5.5 glass-ceramic heat-treated at 913 K was measured by impedance spectroscopy method.
-
Nonlinear impedance as a function of A.C. voltage for fully crystallized 35Bi2VO5.5-65SrB4O7 glass measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrcial properties as a function of A.C. voltage for fully crystallized 35Bi2VO5.5-65SrB4O7 glass was measured by impedance spectroscopy method.
-
Nonlinear impedance as a function of temperature and frequency for Bi2VO5.5 ceramic of thickness 2.52 mm was measured at different A.C. voltage with impedance spectroscopy method
Open Research DataThe nonlinear electrical properties of Bi2VO5.5 ceramic of thickness 2.52 mm was measured by impedance spectroscopy method.
-
Nonlinear impedance as a function of A.C. voltage of Bi2VO5.5 ceramic of thickness 1.63 mm was measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrical properties of Bi2VO5.5 ceramic of thickness 1.63 mm was measured by impedance spectroscopy method.
-
Nonlinear impedance of 40Bi2VO5.5-60SrB4O7 annealed glass at 473 K for 3 h measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrical properties of 40Bi2VO5.5-60SrB4O7 glass annealed at 473 K for 3h was measured by impedance spectroscopy method.
-
Nonlinear impedance as a function of A.C. voltage of Bi2VO5.5 ceramic of thickness 4.03 mm was measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrical properties of Bi2VO5.5 ceramic of thickness 4.03 mm was measured by impedance spectroscopy method.
-
Nonlinear impedance as a function of A.C. voltage of Bi2VO5.5 ceramic of thickness 2.91 mm was measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrical properties of Bi2VO5.5 ceramic of thickness 2.91 mm was measured by impedance spectroscopy method.
-
Nonlinear impedance as a function of A.C. voltage for fully crystallized 45Bi2VO5.5-55SrB4O7 glass measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrcial properties as a function of A.C. voltage for fully crystallized 45Bi2VO5.5-55SrB4O7 glass was measured by impedance spectroscopy method.
-
Nonlinear impedance of 50(2Bi2O3-V2O5)-50SrB4O7 glass heat treated at 693 K measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrcial properties of 50(2Bi2O3-V2O5)-50SrB4O7 glass heat treated at 693 K was measured by impedance spectroscopy method.
-
Nonlinear impedance of 50(2Bi2O3-V2O5)-50SrB4O7 glass heat treated two times measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrcial properties of 50(2Bi2O3-V2O5)-50SrB4O7 glass heat treated two times was measured by impedance spectroscopy method.
-
Nonlinear impedance of glass 40Bi2VO5.5-60SrB4O7 annealed at 593 K and next fully crystallized was measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrcial properties of glass 40Bi2VO5.5-60SrB4O7 annealed at 593 K and next fully crystallized was measured by impedance spectroscopy method.
-
Nonlinear impedance as a function of A.C. voltage for annealed and next fully crystallized 50Bi2VO5.5-50SrB4O7 glass measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrcial properties as a function of A.C. voltage for annealed and next fully crystallized 50Bi2VO5.5-50SrB4O7 glass was measured by impedance spectroscopy method.
-
Nonlinear impedance of 50(2Bi2O3-V2O5)-50SrB4O7 glass-ceramic heat-treated at 813 K measured with impedance spectroscopy method at high temperature region
Open Research DataNonlinear electrcial properties of 50(2Bi2O3-V2O5)-50SrB4O7 glass-ceramic heat treated at 813 K was measured by impedance spectroscopy method.
-
Nonlinear impedance of glass 40Bi2VO5.5-60SrB4O7 annealed at 473 K for 3h and next fully crystallized was measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrcial properties of glass 40Bi2VO5.5-60SrB4O7 annealed at 593 K and next fully crystallized was measured by impedance spectroscopy method.
-
Nonlinear impedance of 50(2Bi2O3-V2O5)-50SrB4O7 glass-ceramic heat-treated at 613 K measured with impedance spectroscopy method at high temperature region
Open Research DataNonlinear electrcial properties of 50(2Bi2O3-V2O5)-50SrB4O7 glass-ceramic heat treated at 613 K was measured by impedance spectroscopy method.
-
Nonlinear impedance of 58(2Bi2O3-V2O5)-42SrB4O7 glass heat-treated for 3 hours at 693 K, measured with impedance spectroscopy method at low temperature region
Open Research DataThe nonlinear electrcial properties of partially crystallized 58(2Bi2O3-V2O5)-42SrB4O7 glass was measured by impedance spectroscopy method.
-
Nonlinear impedance of Bi2VO5.5 ceramic of thickness 2.52 mm (after second heat-treatment at 913 K) was measured at high temperature range with impedance spectroscopy method
Open Research DataThe nonlinear electrical properties of Bi2VO5.5 ceramic of thickness 2.52 mm (after second heat-treatment at 913 K) was measured by impedance spectroscopy method.
-
Nonlinear impedance of 58(2Bi2O3-V2O5)-42SrB4O7 glass heat-treated for 10 hours at 693 K, measured with impedance spectroscopy method at low temperature region
Open Research DataThe nonlinear electrcial properties of partially crystallized 58(2Bi2O3-V2O5)-42SrB4O7 glass was measured by impedance spectroscopy method.
-
Nonlinear impedance as a function of A.C. voltage for glass 40Bi2VO5.5-60SrB4O7 annealed at 593 K and next fully crystallized measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrcial properties as a function of A.C. voltage for annealed at 593 K and next fully crystallized 40Bi2VO5.5-60SrB4O7 glass was measured by impedance spectroscopy method.
-
Nonlinear impedance as a function of A.C. voltage for glass 40Bi2VO5.5-60SrB4O7 annealed at 473 K for 3h and next fully crystallized measured with impedance spectroscopy method at high temperature region
Open Research DataThe nonlinear electrcial properties as a function of A.C. voltage for annealed at 473 K for 3h and next fully crystallized 40Bi2VO5.5-60SrB4O7 glass was measured by impedance spectroscopy method.
-
Boundary problems for differential equations with advanced arguments
PublicationDyskutowane są zagadnienia brzegowe dla równań różniczkowych z wyprzedzonymi argumentami. Przedstawione są warunki dostateczne istnienia quasirozwiązań i rozwiązań rozważanych zagadnień.
-
Generalized quazilinearization for systems of degenerate singular perturbation problem
PublicationPraca dotyczy ogólnej metody kwazilinearyzacji dla układów równań różniczkowych z parametrami.
-
Statistical properties of a modified standard map in quantum and classical regimes
PublicationWe present a model—a modified standard map. This model has interesting properties that allow quantum–classical correspondences to be studied. For some range of parameters in the classical phase space of this model, there exist large accelerator modes. We can create a family of maps that have large accelerator modes.
-
Fuzzy differential-algebraic systems
PublicationProblem istnienia i jednoznaczności rozwiązań oraz ciągła zależność jest dyskutowana. Powyższe rezultaty zostały otrzymane zakładając m.in. warunek Perrona oraz stosując metodę porównawczą. Przypadek liniowy warunku Perrona jest też badany.
-
Nonlinear impedance as a function of A.C. voltage and temperature for Bi2VO5.5 ceramic of thickness 2.52 mm (after first heat-treatment at 913 K) was measured at different frequencies with impedance spectroscopy method
Open Research DataThe nonlinear electrical properties of Bi2VO5.5 ceramic of thickness 2.52 mm was measured by impedance spectroscopy method.
-
Homoclinics for singular strong force Lagrangian systems
PublicationWe study the existence of homoclinic solutions for a class of generalized Lagrangian systems in the plane, with a C1-smooth potential with a single well of infinite depth at a point ξ and a unique strict global maximum 0 at the origin.Under a strong force condition around the singular point ξ, via minimization of an action integral, we will prove the existence of at least two geometrically distinct homoclinic solutions.
-
The E-Cohomological Conley Index, Cup-Lengths and the Arnold Conjecture on T 2n
PublicationWe show that the E-cohomological Conley index, that was introduced by the first author recently, has a natural module structure. This yields a new cup-length and a lower bound for the number of critical points of functionals on Hilbert spaces. When applied to the setting of the Arnold conjecture, this paves the way to a short proof on tori, where it was first shown by C. Conley and E. Zehnder in 1983.
-
On Von Karman Equations and the Buckling of a Thin Circular Elastic Plate
PublicationWe shall be concerned with the buckling of a thin circular elastic plate simply supported along a boundary, subjected to a radial compressive load uniformly distributed along its boundary. One of the main engineering concerns is to reduce deformations of plate structures. It is well known that von Karman equations provide an established model that describes nonlinear deformations of elastic plates. Our approach to study plate deformations...
-
An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds
Publication -
Computer assisted method for proving existence of periodic orbits
Publication -
The Conley index and spectral sequences
Publication -
On the space of equivariant local maps
Publication -
Spectral sequences and detailed connection matrices
Publication -
On the theorem of Tverberg
Publication -
Borsuk-Ulam type theorems on product spaces II
Publication -
Fixed point index for $G$-equivariant multivalued maps
Publication -
Almost homoclinic solutions for the second order Hamiltonian systems
PublicationW niniejszej pracy badam istnienie rozwiązań prawie homoklinicznych (almost homoclinic) dla układu Hamiltona rzędu drugiego (układu Newtona): ü(t) + V_{u}(t,u) = f(t), gdzie t є R, u є R^{n}, V(t,u) = -K(t,u) + W(t,u), K,W: R x R^{n} → R są klasy C^{1}, K spełnia warunek ''pinching'', W_{u}(t,u)=o(|u|), gdy |u| → 0 jednostajnie względem t, f: R → R^{n} jest funkcją ciągłą, niezerową i odpowiednio małą w L^{2}(R,R^{n}). Przy tych...
-
Topology of vibro-impact systems in the neighborhood of grazing
Publication -
Heteroclinic solutions of Allen-Cahn type equations with a general elliptic operator
PublicationWe consider a generalization of the Allen-Cahn type equation in divergence form $-\rm{div}(\nabla G(\nabla u(x,y)))+F_u(x,y,u(x,y))=0$. This is more general than the usual Laplace operator. We prove the existence and regularity of heteroclinic solutions under standard ellipticity and $m$-growth conditions.
-
Minimal number of periodic points for smooth self-maps of two-holed 3-dimensional closed ball
PublicationDla ciągłego odwzorowania f przestrzeni określonej w tytule w siebie, które posiada rzeczywiste wartości własne na drugiej grupie homologii, wyznaczona została minimalna liczba punktów r-periodycznych w klasie wszystkich gładkich odwzorowań homotopijnych z f.
-
Homoclinic solutions for a class of autonomous second order Hamiltonian systems with a superquadratic potential
PublicationW niniejszej pracy udowodniliśmy istnienie nietrywialnego rozwiązania homoklinicznego dla autonomicznych układów Hamiltona drugiego rzędu z nadkwadratowym potencjałem. Orbitę homokliniczną otrzymaliśmy jako słabą granicę ciągu punktów prawie krytycznych, stosując zasadę minimaks do odpowiedniego funkcjonału akcji oraz prosty argument typu ''concentration-compactness''.
-
Regularity of weak solutions for aclass of elliptic PDEs in Orlicz-Sobolev spaces
PublicationWe consider the elliptic partial differential equation in the divergence form $$-\div(\nabla G(\nabla u(x))) t + F_u (x, u(x)) = 0,$$ where $G$ is a convex, anisotropic function satisfying certain growth and ellipticity conditions We prove that weak solutions in $W^{1,G}$ are in fact of class $W^{2,2}_{loc}\cap W^{1,\infty}_{loc}$.
-
Computations of the least number of periodic points of smooth boundary-preserving self-maps of simply-connected manifolds
PublicationLet $r$ be an odd natural number, $M$ a compact simply-connected smooth manifold, $\dim M\geq 4$, such that its boundary $\partial M$ is also simply-connected. We consider $f$, a $C^1$ self-maps of $M$, preserving $\partial M$. In [G. Graff and J. Jezierski, Geom. Dedicata 187 (2017), 241-258] the smooth Nielsen type periodic number $D_r(f;M,\partial M)$ was defined and proved to be equal to the minimal number of $r$-periodic points...
-
Conley index in Hilbert spaces and the Leray-Schauder degree
PublicationZdefiniowane są liczby Bettiego i charakterystyka Eulera LS-indeksu dla potoków generowanych przez pole zwarte w przestrzeni Hilberta. Główna teza pracy to wzór typu Poincare-Hopfa łączący wspomnianą chatrakterystykę Eulera ze stopniem Leray-Schaudera.
-
An approximative scheme of finding almost homoclinic solutions for a class of Newtonian systems
PublicationW niniejszej pracy badamy istnienie rozwiązań prawie homoklinicznych (ang. almost homoclinic solutions) dla pewnej klasy układów Newtona. Rozwiązanie prawie homokliniczne otrzymujemy jako granicę ciągu rozwiązań okresowych dla pewnego ciągu równań różniczkowych.
-
An algorithmic approach to estimating the minimal number of periodic points for smooth self-maps of simply-connected manifolds
PublicationFor a given self-map f of M, a closed smooth connected and simply-connected manifold of dimension m 4, we provide an algorithm for estimating the values of the topological invariant D^m_r [f], which equals the minimal number of r-periodic points in the smooth homotopy class of f. Our results are based on the combinatorial scheme for computing D^m_r [f] introduced by G. Graff and J. Jezierski [J. Fixed Point Theory Appl. 13 (2013),...
-
Selections and approximations of convex-valued equivariant mappings
PublicationUdowodniono szereg twierdzeń o współzmienniczych selekcjach i aproksymacjach ciągłych, mierzalnych i typu Caratheodory'ego dla odwzorowań G-współzmienniczych o wartościach wypukłych, gdzie G jest grupą zwartą Liego. Tw. typu Michaela, Celliny, Browdera, Kuratowskiego-Ryll-Nardzewskiego, Castaing itd.
-
On homotopy Conley index for multivalued flows in Hilbert spaces
PublicationPodano aproksymacyjną definicję indeksu homotopijnego, otrzymując naturalne związki z podobnymi niezmiennikami. Zbadano własności tego niezmiennika i zastosowano do badania gradientowych potoków wykazując pewne geometryczne własności zbiorów niezmienniczych
-
Fixed point indices of iterations of planar homeomorphisms.
PublicationW pracy bada się postać indeksów iteracji lokalnych homeomorfizmów płaszczyzny.