http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Existence Results for First Order Impulsive Functional Differential Equations in Banach Spaces
M. Mallika Arjunan,A. Anguraj 한국산업응용수학회 2007 Journal of the Korean Society for Industrial and A Vol.11 No.1
In this paper we prove the existence mild solutions of a first order impulsive initial value problems for functional differential equations in Banach spaces. The results are obtained by using the Lerey-Schauder nonlinear alternative fixed theorem.
CONTROLLABILITY OF IMPULSIVE FRACTIONAL EVOLUTION INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
M. MALLIKA ARJUNAN,V. KAVITHA 한국산업응용수학회 2011 Journal of the Korean Society for Industrial and A Vol.15 No.3
According to fractional calculus theory and Banach’s fixed point theorem, we establish the sufficient conditions for the controllability of impulsive fractional evolution integrodifferential equations in Banach spaces. An example is provided to illustrate the theory.
EXISTENCE OF SOLUTIONS FOR IMPULSIVE NONLINEAR DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS
B. SELVARAJ,M. MALLIKA ARJUNAN,V. KAVITHA 한국산업응용수학회 2009 Journal of the Korean Society for Industrial and A Vol.13 No.3
In this article, we study the existence and uniqueness of mild and classical solutions for a nonlinear impulsive differential equation with nonlocal conditions u'(t) = Au(t) + f(t, u(t), Tu(t), Su(t)), 0 ≤ t ≤ T?, t ≠ ti, u(0) + g(u) = uu(0) + g(u) = u?, △u(ti) = Ii(u(ti)), i = 1, 2,... p, 0 < t₁ < t₂ < … < tp < T?, in a Banach space X, where A is the infinitesimal generator of a C? semigroup, g constitutes a nonlocal conditions, and △u(ti) = u(t?i ) - u(t?i ) represents an impulsive conditions.
CONTROLLABILITY RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL SYSTEMS
S.SELVI,M. MALLIKA ARJUNAN 한국산업응용수학회 2012 Journal of the Korean Society for Industrial and A Vol.16 No.2
In this paper, we consider the controllability of a certain class of impulsive neutral evolution differential equations in Banach spaces. Sufficient conditions for controllability are obtained by using the Hausdorff measure of noncompactness and Monch fixed point theorem under the assumption of noncompactness of the evolution system.
EXISTENCE OF SOLUTIONS FOR DOUBLE PERTURBED IMPULSIVE NEUTRAL FUNCTIONAL EVOLUTION EQUATIONS
V. VIJAYAKUMAR,S. SIVASANKARAN,M. MALLIKA ARJUNAN 한국산업응용수학회 2011 Journal of the Korean Society for Industrial and A Vol.15 No.4
In this paper, we study the existence of mild solutions for double perturbed impulsive neutral functional evolution equations with infinite delay in Banach spaces. The existence of mild solutions to such equations is obtained by using the theory of the Hausdorff measure of noncompactness and Darbo fixed point theorem, without the compactness assumption on associated evolution system. An example is provided to illustrate the theory.