Existence and multiplicity of solutions of Stieltjes differential equations via topological methods

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作者
Věra Krajščáková
F. Adrián F. Tojo
机构
[1] CITMAga,Departamento de Estatística, Análise Matemática e Optimización, Facultade de Matemáticas
[2] Universidade de Santiago de Compostela,Department of Mathematical Analysis and Application of Mathematics, Faculty of Science
[3] Palacký University Olomouc,undefined
关键词
Stieltjes derivative; green’s functions; differential equations; fixed point index theory; 34B15; 26A42;
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摘要
In this work, we use techniques from Stieltjes calculus and fixed point index theory to show the existence and multiplicity of solution of a first order non-linear boundary value problem with linear boundary conditions that extend the periodic case. We also provide the Green’s function associated to the problem as well as an example of application.
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