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On second order differential equations with state-dependent delay |
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| Authors: | Eduardo Hernández Katia A G Azevedo Donal O’Regan |
| Institution: | 1. Faculdade de Filosofia Ciências e Letras de Ribeir?o Preto, Departamento de Computa??o e Matemática, Universidade de S?o Paulo , Ribeir?o Preto, Brazil.lalohm@ffclrp.usp.br;3. Faculdade de Filosofia Ciências e Letras de Ribeir?o Preto, Departamento de Computa??o e Matemática, Universidade de S?o Paulo , Ribeir?o Preto, Brazil.;4. Department of Mathematics, National University of Ireland , Galway, Ireland. |
| Abstract: | We study existence and uniqueness of solutions for a general class of second order abstract differential equations with state-dependent delay. Some examples related to partial differential equations with state dependent delay are presented. |
| Keywords: | Abstract Cauchy problem cosine function state-dependent delay |