Solvability of boundary value problems with Riemann-Stieltjes \(\Delta\)-integral conditions for second-order dynamic equations on time scales at resonance

DOI10.1186/1687-1847-2011-42zbMath1279.34010OpenAlexW2110711534WikidataQ59268328 ScholiaQ59268328MaRDI QIDQ355203

Jiangye Shu, Li Yong Kun

Publication date: 24 July 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-42

zbMATH Keywords

time scalesresonanceboundary value problem with Riemann-Stieltjes \(\Delta\)-integral conditions

Mathematics Subject Classification ID

Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08) Dynamic equations on time scales or measure chains (34N05)

Related Items (6)

Impulsive boundary value problems with Riemann-Stieltjes \(\Delta\)-integral conditions and \(p\)-Laplacian operator on timescales ⋮ Solutions of the boundary value problem for a \(2n\)th-order nonlinear difference equation containing both advance and retardation ⋮ Existence and multiple solutions for higher order difference Dirichlet boundary value problems ⋮ Multiple positive solutions for a fourth-order integral boundary value problem on time scales ⋮ Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales ⋮ Boundary value problems for \(2n\)-order \(\phi_c\)-Laplacian difference equations containing both advance and retardation

Cites Work

• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Multiple solutions for second-order three-point boundary value problems with \(p\)-Laplacian operator
• Existence and uniqueness results for nonlinear first-order three-point boundary value problems on time scales
• Existence of three solutions for a perturbed two-point boundary value problem
• Positive solutions for a class of boundary-value problems with integral boundary conditions
• Solvability of \(m\)-point boundary value problems with nonlinear growth
• An even-order three-point boundary value problem on time scales
• Positive solutions for a nonlinear differential equation on a measure chain
• Existence of three positive solutions to a second-order boundary value problem on a measure chain
• On Green's functions and positive solutions for boundary value problems on time scales
• Blow-up criterion of smooth solutions for magneto-micropolar fluid equations with partial viscosity
• On the existence and uniqueness of solutions to boundary value problems on time scales
• The existence of three positive solutions of \(m\)-point boundary value problems for some dynamic equations on time scales
• An existence result for a multipoint boundary value problem on a time scale
• Triple positive pseudo-symmetric solutions of three-point BVPs for \(p\)-Laplacian dynamic equations on time scales
• Existence and approximation of solution of three-point boundary value problems on time scales
• The Riemann-Stieltjes integral on time scales
• Existence of Solutions for a One Dimensionalp-Laplacian on Time-Scales
• Nonlinear boundary value problems on time scales
• Second-order differential operators with integral boundary conditions and generation of analytic semigroups

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