Fourth-order \(p\)-Laplacian nonlinear systems via the vector version of Krasnosel'skiĭ's fixed point theorem

DOI10.1007/s00009-009-0017-4zbMath1193.47057OpenAlexW2036061334MaRDI QIDQ844000

Toufik Moussaoui, Smaïl Djebali, Radu Precup

Publication date: 18 January 2010

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-009-0017-4

zbMATH Keywords

positive solution\(p\)-Laplacianfourth-order equationcompression and expansionKrasnosel'skij's cone fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (8)

Positive solutions to semi-positone fourth-order \(\phi \)-Laplacian BVPs ⋮ A fixed point theorem for systems of nonlinear operator equations and applications to \((p_1, p_2)\)-Laplacian system ⋮ Multiplicity solutions for integral boundary value problem of fractional differential systems ⋮ Positive solutions for a system of higher-order multi-point boundary value problems ⋮ Positive solutions for a system of second-order multi-point boundary value problems ⋮ Positive solutions for boundary value problems of N-dimension nonlinear fractional differential system with integral boundary conditions ⋮ A fixed point theorem for systems of operator equations and its application ⋮ Some existence results of positive solutions for \(p\)-Laplacian systems

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• Existence and uniqueness of solutions for singular fourth-order boundary value problems
• Existence and uniqueness theorems for the bending of an elastic beam equation
• Fourth-Order Two-Point Boundary Value Problems
• On the existence of positive solutions of fourth-order ordinary differential equations

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