Existence and multiplicity of positive solutions for a nonlocal differential equation

DOI10.1186/1687-2770-2011-5zbMath1274.34070OpenAlexW2137727954WikidataQ59269785 ScholiaQ59269785MaRDI QIDQ1950076

Yukun An, Yunhai Wang, Fanglei Wang

Publication date: 24 May 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-5

zbMATH Keywords

conefixed point theoremnonlocal boundary value problems

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (13)

Multiple positive solutions for nonlinear high-order Riemann-Liouville fractional differential equations boundary value problems with \(p\)-Laplacian operator ⋮ Nonexistence and parameter range estimates for convolution differential equations ⋮ Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions ⋮ Nonlocal differential equations with (p,q)$ {(p,q)}$ growth ⋮ Nonlocal differential equations with convolution coefficients and applications to fractional calculus ⋮ Discrete Kirchhoff equations with sign-changing coefficients ⋮ Topological analysis of doubly nonlocal boundary value problems ⋮ Nonlocal differential equations with concave coefficients of convolution type ⋮ A one-dimensional Kirchhoff equation with generalized convolution coefficients ⋮ An analysis of nonlocal difference equations with finite convolution coefficients ⋮ A topological approach to a class of one-dimensional Kirchhoff equations ⋮ Differential equations with multiple sign changing convolution coefficients ⋮ Nonlocal differential equations with convex convolution coefficients

Cites Work

• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Positive solutions for 2\(p\)-order and 2\(q\)-order systems of singular boundary value problems with integral boundary conditions
• Nonlocal elliptic equations.
• Three positive solutions of singular nonlocal boundary value problems for systems of nonlinear second-order ordinary differential equations

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