Nonnegative solutions of a Fredholm type integral equation with applications to boundary value problems (Q693173)
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scientific article; zbMATH DE number 6113958
| Language | Label | Description | Also known as |
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| English | Nonnegative solutions of a Fredholm type integral equation with applications to boundary value problems |
scientific article; zbMATH DE number 6113958 |
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Nonnegative solutions of a Fredholm type integral equation with applications to boundary value problems (English)
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7 December 2012
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This paper is mainly concerned with the existence of nonnegative and nontrivial solutions for the following integral equation: \[ u(t)=h(t)+\int_a^b G(t,s)f(s,u(s),u'(s))ds,\quad t\in [a,b]. \] The author also applies the main results to a second-order boundary value problem and a fourth-order boundary value problem.
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boundary value problems
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Fredholm type nonlinear integral equation
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nonnegative solutions
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