Existence of solutions for functional boundary value problems of second-order nonlinear differential equations system at resonance

DOI10.1186/s13662-017-1307-yzbMath1422.34103OpenAlexW2753842799WikidataQ59524263 ScholiaQ59524263MaRDI QIDQ1629990

Weihua Jiang, Bingzhi Sun

Publication date: 7 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1307-y

zbMATH Keywords

Fredholm operatorresonancecoincidence degree theoryfunctional boundary condition

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) 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) Boundary value problems on infinite intervals for ordinary differential equations (34B40)

Related Items

Existence of solutions for functional boundary value problems at resonance on the half-line ⋮ Nonlinear differential equations involving mixed fractional derivatives with functional boundary data ⋮ Solvability of fractional differential equations with \(p\)-Laplacian and functional boundary value conditions at resonance

Cites Work

• Existence results of a \(m\)-point boundary value problem at resonance
• The Kolmogorov-Riesz compactness theorem
• Existence of solutions to functional boundary value problem of second-order nonlinear differential equation
• A new continuation theorem for the existence of solutions to \(p\)-Laplacian BVP at resonance
• Existence result of second-order differential equations with integral boundary conditions at resonance
• On the existence of \(m\)-point boundary value problem at resonance for higher order differential equation.
• Solvability of fractional differential equations with \(p\)-Laplacian at resonance
• Some higher-order multi-point boundary value problem at resonance
• Solvability of multi-point boundary value problem at resonance. II.
• Solvability of nonlocal boundary value problems for ordinary differential equations of higher order
• Solvability of a multi-point boundary value problem at resonance
• Solvability for a coupled system of fractional differential equations at resonance
• Solvability for second-order three-point boundary value problems at resonance on a half-line
• Multi-point boundary value problems on an unbounded domain at resonance
• Second-order functional problems with a resonance of dimension one
• On a nonlocal boundary value problem at resonance
• Solvability of a multi-point boundary value problem at resonance.
• Unnamed Item
• Unnamed Item
• Unnamed Item