Global boundary value problems for nonlinear dynamic equations on time scales

We consider nonlinear boundary value problems for dynamic equations on time scales. We study nonlinear dynamic equations subject to global boundary conditions. Criteria are provided for the solvability of such problems. In the case of weak nonlinearities, we also examine the dependence of the soluti...

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Bibliographic Details
Published inJournal of difference equations and applications Vol. 17; no. 4; pp. 541 - 553
Main Authors Kalhorn, Rebecca I.B., Rodríguez, Jesús
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.04.2011
Taylor & Francis Ltd
Subjects
Boundary conditions
Boundary value problems
Criteria
Difference equations
Differential equations
Mathematical analysis
Nonlinear dynamics
Nonlinear equations
Nonlinearity
Schauder Fixed Point Theorem
time scales
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Summary:We consider nonlinear boundary value problems for dynamic equations on time scales. We study nonlinear dynamic equations subject to global boundary conditions. Criteria are provided for the solvability of such problems. In the case of weak nonlinearities, we also examine the dependence of the solution on parameters.
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ISSN:1023-6198
1563-5120
DOI:10.1080/10236190903150161