Solvability of nonlocal boundary value problems for ordinary differential equation of higher order with a \(p\)-Laplacian

DOI10.1016/j.camwa.2007.11.039zbMath1145.34310OpenAlexW1971054516WikidataQ115359605 ScholiaQ115359605MaRDI QIDQ950035

Huihui Pang, Weigao Ge, Min Tian

Publication date: 22 October 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.11.039

zbMATH Keywords

\(p\)-Laplaciannonlocal boundary value problemat resonancehigher order differential equationthe coincidence theory

Mathematics Subject Classification ID

Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (14)

Existence of solutions for Erdélyi-Kober fractional integral boundary value problems with \(p(t)\)-Laplacian operator ⋮ Solvability of periodic boundary value problem for fractional \(p\)-Laplacian equation ⋮ On the periodic boundary value problem for Duffing type fractional differential equation with \(p\)-Laplacian operator ⋮ Twin iterative solutions for a fractional differential turbulent flow model ⋮ Existence of solutions for a coupled system of fractional \(p\)-Laplacian equations at resonance ⋮ Solvability of fractional boundary value problem with \(p\)-Laplacian operator at resonance ⋮ Existence and uniqueness of solutions for several BVPs of fractional differential equations with \(p\)-Laplacian operator ⋮ Existence of anti-periodic solutions with symmetry for some high-order ordinary differential equations ⋮ Higher order \(\mathrm{p}\)-Laplacian boundary value problems with integral boundary conditions on the half-line ⋮ Solvability of fractional boundary value problems with \(p\)-Laplacian operator ⋮ An anti-periodic boundary value problem for the fractional differential equation with a \(p\)-Laplacian operator ⋮ Positive solutions for nonlinear \(n\)th-order singular eigenvalue problem with nonlocal conditions ⋮ Existence of symmetric solutions for a fourth-order multi-point boundary value problem with a \(p\)-Laplacian at resonance ⋮ Some existence results on boundary value problems for fractional \(p\)-Laplacian equation at resonance

Cites Work

• Periodic solutions of non-autonomous second-order systems with a p-Laplacian
• The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
• Solvability of nonlocal boundary value problems for ordinary differential equations of higher order
• An extension of Mawhin's continuation theorem and its application to boundary value problems with a \(p\)-Laplacian
• Existence results for the problem (φ(u′))′=f(t,u,u′) with nonlinear boundary conditions
• Solvability of three point boundary value problems at resonance
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$
• A note on singular nonlinear boundary value problems for the one-dimensional \(p\)-Laplacian
• Unnamed Item
• Unnamed Item

This page was built for publication: Solvability of nonlocal boundary value problems for ordinary differential equation of higher order with a \(p\)-Laplacian