Analysis on Controllability Results for Wellposedness of Impulsive Functional Abstract Second-Order Differential Equation with State-Dependent Delay [PDF]
Axioms, 2021 The functional abstract second order impulsive differential equation with state dependent delay is studied in this paper. First, we consider a second order system and use a control to determine the controllability result.
Kulandhivel Karthikeyan +2 more
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Results in Physics, 2023 This manuscript mainly focuses on the nonlocal controllability analysis for the impulsive fractional functional integro-differential equation (IFrFIDE) in n-dimensional Euclidean space.
Kanagaraj Muthuselvan +5 more
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A New Comparison Principle for Impulsive Functional Differential Equations [PDF]
Discrete Dynamics in Nature and Society, 2015 We establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present an example to show the effectiveness of our results.
Gang Li, Weizhong Ling, Changming Ding
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BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractIn the present paper an initial value problem for impulsive functional differential equations with variable impulsive perturbations is considered. By means of piecewise continuous functions coupled with the Razumikhin technique, sufficient conditions for boundedness of solutions of such equations are found.
Ivanka Stamova
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Impulsive functional‐differential equations with nonlocalconditions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional‐differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.
Haydar Akça +2 more
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Positive periodic solutions of Lotka-Volterra-like impulsive functional differential equations with infinite distributed time delays on time scales [PDF]
Advances in Difference Equations, 2017 This paper is concerned with the Lotka-Volterra-like functional differential equations with impulses and infinite distributed time delays on time scales.
Kaihong Zhao
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Impulsive Stabilization of Functional Differential Equations via Liapunov Functionals
Journal of Mathematical Analysis and Applications, 1999 The authors discuss the use of the second Lyapunov method and the use of Lyapunov functionals in the analysis of impulsive stabilization problems concerning functional-differential equations of the form \[ x'(t)= f(t, x_t),\quad t\geq t_0,\quad \Delta_x= I_k(t, x(t^-)),\quad t= t_k,\quad k\in \mathbb{Z}^+. \]
Xinzhi Liu
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Stability of impulsive functional differential equations via the Liapunov functional
Applied Mathematics Letters, 2009 AbstractIn this work, we investigate the stability of a class of impulsive functional differential equations. Some general stability theorems are obtained. Our results can be applied to finite delay impulsive systems or infinite delay impulsive systems or impulsive systems involving both finite and infinite delays, in a unified way.
Zhiguo Luo, Jianhua Shen
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On Existence of Solutions of Impulsive Nonlinear Functional Neutral Integro-Differential Equations With Nonlocal Condition [PDF]
Demonstratio Mathematica, 2015 In the present paper, we investigate the existence, uniqueness and continuous dependence of mild solutions of an impulsive neutral integro-differential equations with nonlocal condition in Banach spaces. We use Banach contraction principle and the theory
Jain Rupali S., Dhakne M. B.
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New comparison results for impulsive functional differential equations
Applied Mathematics Letters, 2010 The authors obtain sufficient conditions for the solution of the periodic boundary value problem to be negative. To solve this problem they compare solutions of differential equations and differential inequalities.
Jianli Li
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