Second-order functional problems with a resonance of dimension one

DOI10.7153/dea-08-18zbMath1347.34034OpenAlexW2508766936MaRDI QIDQ2815959

Weihua Jiang, Nickolai Kosmatov

Publication date: 30 June 2016

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-08-18

zbMATH Keywords

resonancesecond order differential equationsfunctional conditionscoincidence degree theorypendulum equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (12)

Solvability for Multi-Point BVP of Nonlinear Fractional Differential Equations at Resonance with Three Dimensional Kernels ⋮ Solvability of a third-order differential equation with functional boundary conditions at resonance ⋮ Resonant \(p\)-Laplacian problems with functional boundary conditions ⋮ Existence of solutions for functional boundary value problems at resonance on the half-line ⋮ Existence of solutions for functional boundary value problems of second-order nonlinear differential equations system at resonance ⋮ Existence of solutions for fractional Sturm-Liouville boundary value problems with \(p(t)\)-Laplacian operator ⋮ Nonlinear differential equations involving mixed fractional derivatives with functional boundary data ⋮ Existence of solutions for a nonlocal boundary value problem at resonance on the half-line ⋮ Existence results for fractional order differential equation with nonlocal Erdélyi-Kober and generalized Riemann-Liouville type integral boundary conditions at resonance ⋮ Solvability of fractional differential equations with \(p\)-Laplacian and functional boundary value conditions at resonance ⋮ Impulsive problems for fractional differential equations with functional boundary value conditions at resonance ⋮ Solvability of mixed Hilfer fractional functional boundary value problems with \(p\)-Laplacian at resonance

Cites Work

• Solvability for some higher order multi-point boundary value problems at resonance
• The Kolmogorov-Riesz compactness theorem
• Existence of solutions to functional boundary value problem of second-order nonlinear differential equation
• An extension of Leggett-Williams norm-type theorem for coincidences and its application
• Solvability of fractional differential equations with \(p\)-Laplacian at resonance
• Solvability for a coupled system of fractional differential equations at resonance
• Contributions to coincidence degree theory of asymptotically homogeneous operators
• A multi-point boundary value problem with two critical conditions
• Scalar multi-point boundary value problems at resonance
• First-order three-point BVPs at resonance (II)
• A second order m-point boundary value problem at resonance

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