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Abstract
We show that the well-known theory for classical ordinary differential equations with separated variables is not valid in case of equations on time scales. Namely, the uniqueness of solutions does not depend on the convergence of appropriate integrals.
Authors (2)
-
Antoni Augustynowicz dr hab.
- Uniwersytet Gdański Instytut Matematyki
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- Copyright (2017 Research India Publications)
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- Category:
- Articles
- Type:
- publikacja w in. zagranicznym czasopiśmie naukowym (tylko język obcy)
- Published in:
-
INTERNATIONAL JOURNAL OF DIFFERENCE EQUATIONS
no. 12,
pages 1 - 11,
ISSN: 0973-6069 - Language:
- English
- Publication year:
- 2017
- Bibliographic description:
- Augustynowicz, A., Gołaszewska A.. Equations with Separated Variables on Time Scales. INTERNATIONAL JOURNAL OF DIFFERENCE EQUATIONS, 2017, Vol. 12, nr. 1, s.1-11
- Bibliography: test
-
show (6) hide
- A. Augustynowicz, A. Gołaszewska, On the Peano Theorem for Some Func- tional Differential Equation on Time Scale, Functional Differential Equations, Vol. 21, No 3-4, 2014, pp. 111-118; open in new tab
- M. Bohner, A. C. Peterson, Dynamic Equations on Time Scales, Birkhäuser, Boston 2001; open in new tab
- M. Bohner, A. C. Peterson, Advances in Dynamic Equations on Time Scales, Birkhäuser, Boston 2003; open in new tab
- J. Jankowski, Istnienie i jednoznaczność rozwiazań równań różniczkowych z wyprzedzonym argumentem, PhD Thesis, University of Gdańsk (2009);
- V. Lakshmikantham, S. Sivasundaram, B. Kaymakcalan, Dynamic Systems on Measure Chains, Kluwer Academic Publishers, Dordrecht 1996; open in new tab
- W. F. Trench, Elementary Differential Equations, Brooks/Cole Thomson Learn- ing, 2001 (Free Edition 1.01). open in new tab
- Verified by:
- Gdańsk University of Technology
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