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On Semilinear Hyperbolic Functional Equations with State-Dependent Delays

  • László SimonEmail author
Conference paper
  • 884 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 94)

Abstract

We consider second-order semilinear hyperbolic functional differential equations where the lower-order terms contain functional dependence and state-dependent delay on the unknown function. Existence of solutions for t ∈ (0, T), t ∈ (0, ) and some qualitative properties of the solutions in (0, ) are shown. Further, examples are considered.

Keywords

Semilinear hyperbolic equation Functional differential equation  State-dependent delay Qualitative properties 

Notes

Acknowledgements

This work was supported by the Hungarian National Foundation for Scientific Research under grant OTKA K 81403.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Applied Analysis and Computational MathematicsEötvös Loránd UniversityBudapestHungary

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