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Two positive solutions for boundary value problems of a kind of Sturm-Liouville functional differential equations. - MaRDI portal

Two positive solutions for boundary value problems of a kind of Sturm-Liouville functional differential equations. (Q1865978)

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scientific article; zbMATH DE number 1890859
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Two positive solutions for boundary value problems of a kind of Sturm-Liouville functional differential equations.
scientific article; zbMATH DE number 1890859

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    Two positive solutions for boundary value problems of a kind of Sturm-Liouville functional differential equations. (English)
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    15 July 2003
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    A boundary value problem of mixed type for the equation \[ (p(t)u')'+q(t)u+\sum_{i=1}^na_i(t)(u(t+\tau_i))^{\gamma_i}=0 \] is considered. Conditions guaranteeing the existence of two nontrivial nonnegative solutions are established.
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    existence
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    functional-differential equations
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    boundary value problems
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    fixed-point theorems
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