Existence results for a damped second order abstract functional differential equation with impulses

DOI10.1016/j.mcm.2009.09.007zbMath1185.34113OpenAlexW1976903134WikidataQ115343447 ScholiaQ115343447MaRDI QIDQ970067

Eduardo M. Hernández, N. Annapoorani, Krishnan Balachandran

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.09.007

zbMATH Keywords

strong solutionclassical solutionmild solutioncosine functions of operatorsdamped second order impulsive differential equation

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Linear differential equations in abstract spaces (34G10)

Related Items (12)

Stability and solvability for a class of optimal control problems described by non-instantaneous impulsive differential equations ⋮ Existence and controllability results for damped second order impulsive functional differential systems with state-dependent delay ⋮ The damped vibrating string equation on the positive half-line ⋮ Almost periodic solutions of the wave equation with damping and impulsive action ⋮ Controllability of damped second-order impulsive neutral functional differential systems with infinite delay ⋮ Existence and approximate controllability results for the second-order abstract neutral differential system with damping ⋮ An existence result for nonlocal impulsive second-order Cauchy problems with finite delay ⋮ Solvability of impulsive partial neutral second-order functional integro-differential equations with infinite delay ⋮ Existence results of damped second order impulsive functional differential equations with infinite delay ⋮ Second order evolution differential functional equations with infinite delay ⋮ Controllability results for damped second-order impulsive neutral integrodifferential systems with nonlocal conditions ⋮ Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay

Cites Work

• A second-order impulsive Cauchy problem
• Some comments on: Existence of solutions of abstract nonlinear second-order neutral functional integrodifferential equations
• Existence of solutions for impulsive partial neutral functional differential equations
• Existence results for impulsive neutral functional integrodifferential equations with infinite delay
• Existence results for abstract impulsive second-order neutral functional differential equations
• Nonlinear abstract wave equations with strong damping
• Differentiability of solutions of the second order abstract Cauchy problem
• Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
• Existence and Uniqueness of Solutions of Second Order Nonlinear Differential Equations
• Cosine families and abstract nonlinear second order differential equations
• On cosine operator functions and one-parameter groups of operators
• Existence of solutions of second order nonlinear differential equations with nonlocal conditions in Banach spaces
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