Boundary value problem for first order impulsive functional integro-differential equations

DOI10.1016/j.cam.2010.10.045zbMath1220.45010OpenAlexW1998398917MaRDI QIDQ629508

Lihong Zhang

Publication date: 9 March 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.10.045

zbMATH Keywords

upper and lower solutionsextremal solutionmonotone iterative techniquenonlinear boundary conditionsimpulsive integro-differential equations with deviated arguments

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Theoretical approximation of solutions to integral equations (45L05)

Related Items (5)

Multi-point boundary value problem for first order impulsive integro-differential equations with multi-point jump conditions ⋮ Positive piecewise pseudo-almost periodic solutions of first-order singular differential equations with impulses ⋮ On solution of integrodifferential equation with delay parameter by sinc basis functions ⋮ Periodic boundary value problems for first-order impulsive functional integrodifferential equations with integral-jump conditions ⋮ Existence results for fractional differential equations with separated boundary conditions and fractional impulsive conditions

Cites Work

• Unnamed Item
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• Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input
• Variational approach to impulsive differential equations
• Periodic boundary value problem for the first order impulsive functional differential equations
• First-order impulsive ordinary differential equations with advanced arguments
• Boundary value problems for a class of impulsive functional equations
• Existence and approximation of solutions for a class of nonlinear impulsive functional differential equations with anti-periodic boundary conditions
• A delayed epidemic model with stage-structure and pulses for pest management strategy
• Integral boundary value problems for first order integro-differential equations with deviating arguments
• Boundary value problems involving upper and lower solutions in reverse order
• Remarks on periodic boundary value problems for functional differential equations.
• First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions
• Optimal existence conditions for \(\varphi\)-Laplacian equations with upper and lower solutions in the reversed order
• Existence and comparison results for difference \(\phi\)-Laplacian boundary value problems with lower and upper solutions in reverse order
• Upper and lower solution methods for fully nonlinear boundary value problems
• A class of second-order impulsive integro-differential equations on unbounded domain in a Banach space
• A unique solution of initial value problems for first order impulsive integro-differential equations of mixed type in Banach spaces
• Periodic boundary value problems for first order impulsive integro-differential equations of mixed type
• The monotone method for Neumann functional differential equations with upper and lower solutions in the reverse order
• Nonlinear boundary value problems for first order impulsive functional differential equations
• Existence and uniqueness of solutions of second-order three-point boundary value problems with upper and lower solutions in the reversed order
• Extremal solutions for third-order nonlinear problems with upper and lower solutions in reversed order
• Periodic boundary value problems for delay differential equations with impulses
• Periodic boundary value problem for first-order impulsive functional differential equations

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