Existence principles for singular vector nonlocal boundary value problems with \(\phi\)-Laplacian and their applications (Q2904107)
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scientific article; zbMATH DE number 6063573
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence principles for singular vector nonlocal boundary value problems with \(\phi\)-Laplacian and their applications |
scientific article; zbMATH DE number 6063573 |
Statements
6 August 2012
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singular boundary value problems
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nonlocal boundary conditions
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existence principle
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\(\phi\)-Laplacian, Leray-Schauder degree
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Existence principles for singular vector nonlocal boundary value problems with \(\phi\)-Laplacian and their applications (English)
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The paper establishes existence principles for the solutions of singular differential systems of \(\phi\)-Laplacian type NEWLINE\[NEWLINE\phi(u')' = f(t,u,u')NEWLINE\]NEWLINE under nonlocal boundary conditions. The nonlinearity \(f\) may be singular in the state variables. Under appropriate growth conditions, an existence result is obtained via the regularization technique and the Leray-Schauder degree theory.
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