Existence of solutions for a class of abstract differential equations with nonlocal conditions |
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| Authors: | Eduardo Hernández Jair Silvério dos Santos Katia AG Azevedo |
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| Institution: | Departamento de computação e Matemática, Faculdade de Filosofia Ciências e Letras de Ribeirão Preto (FFCLRP), Universidade de São Paulo, Ribeirão Preto, CEP, 14040-901, SP, Brazil |
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| Abstract: | We discuss the existence of mild, classical and strict solutions for a class of abstract differential equations with nonlocal conditions. Our technical approach allows the study of partial differential equations with nonlocal conditions involving partial derivatives or nonlinear expressions of the solution. Some concrete applications to partial differential equations are considered. |
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| Keywords: | 47D06 34K30 34B10 |
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