Year 2021

• Asymptotic numerical solver for the linear Klein–Gordon equation with space- and time-dependent mass

  Publication

  • M. Condon
  • K. Kropielnicka
  • K. Lademann
  • R. Perczyński

  - APPLIED MATHEMATICS LETTERS - Year 2021

  Full text to download in external service

Year 2014

• Boundary problems for fractional differential equations

  Publication

  • T. Jankowski

  - APPLIED MATHEMATICS LETTERS - Year 2014

  In this paper, the existence of solutions of fractional differential equations with nonlinear boundary conditions is investigated. The monotone iterative method combined with lower and upper solutions is applied. Fractional differential inequalities are also discussed. Two examples are added to illustrate the results.

  Full text available to download

Year 2013

• Fractional equations of Volterra type involving a Riemann Liouville derivative

  Publication

  • T. Jankowski

  - APPLIED MATHEMATICS LETTERS - Year 2013

  In this paper, we discuss the existence of solutions of fractional equations of Volterra type with the Riemann Liouville derivative. Existence results are obtained by using a Banach fixed point theorem with weighted norms and by a monotone iterative method too. An example illustrates the results.

  Full text to download in external service

Year 2003

• Samoilenko`s method to differential algebraic systems with integral boundary conditions.

  Publication

  • T. Jankowski

  - APPLIED MATHEMATICS LETTERS - Year 2003

  Problemy różniczkowo-algebraiczne z warunkami brzegowymi (typu całkowego) są przedmiotem badań. Zastosowano metodę Samoilenki w powiązaniu z metodą porównawczą. O prawych stronach zagadnienia zakładano, że spełniają warunek Lipschitza oraz promień spektralny odpowiedniej macierzy jest mniejszy od 1.Podane zostały warunki dostateczne na istnienie rozwiązania omawianego zagadnienia.