Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems
In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying spectral theory, an associated Green’s function is constructed as a series of functions and some of its properties are obtained. Under suitable conditions...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Santiago de Compostela (USC) |
| Repositorio: | Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela |
| Idioma: | inglés |
| OAI Identifier: | oai:minerva.usc.gal:10347/37811 |
| Acceso en línea: | https://hdl.handle.net/10347/37811 |
| Access Level: | acceso abierto |
| Palabra clave: | Discrete fractional calculus Green’s function Existence of solutions Two-point boundary value problem 1202 Análisis y análisis funcional |
| Sumario: | In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying spectral theory, an associated Green’s function is constructed as a series of functions and some of its properties are obtained. Under suitable conditions on the nonlinear part of the equation, some existence and uniqueness results are deduced. |
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