Singular integral equations and applications to nonlinear conjugate problems (Q993603)
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scientific article; zbMATH DE number 5788288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Singular integral equations and applications to nonlinear conjugate problems |
scientific article; zbMATH DE number 5788288 |
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Singular integral equations and applications to nonlinear conjugate problems (English)
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20 September 2010
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The existence of multiple positive solutions for singular integral equations of the form \[ x(t)= \int^1_0 G(t,s) f(s, x(s)+ \gamma(s))\,ds\quad (t\in [0,1]) \] is established with help of a nonlinear Leray-Schauder alternative and a fixed point theorem in a cone. An application to higher-order nonlinear singular conjugate boundary value problems is provided.
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multiple positive solutions
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singular integral equations
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nonlinear Leray-Schauder alternative
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fixed point theorem
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cone
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nonlinear singular conjugate boundary value problems
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