Results 51 to 60 of about 552 (107)
A second‐order impulsive Cauchy problem
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 8, Page 451-461, 2002., 2002 We study the existence of mild and classical solutions for an abstract second‐order impulsive Cauchy problem modeled in the form u¨(t)=A u(t)+f(t,u(t),u˙(t)),t∈(−T0,T1),t≠ti;u(0)=x0,u˙(0)=y0; △u(ti)=Ii1 (u (ti)). △u˙(ti)=Ii2 (u˙ (ti+)) where A is the infinitesimal generator of a strongly continuous cosine family of linear operators on a Banach space X ...
Eduardo Hernández Morales
wiley +1 more source
Existence of solutions for delay evolution equations with nonlocal conditions
Open Mathematics, 2017 In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results ...
Zhang Xuping, Li Yongxiang
doaj +1 more source
, 2015 In this paper, indirect collocation approach based on compactly supported radial basis function is applied for solving Volterras population model.
Hemami, Mohammad, Parand, Kourosh
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Impulsive functional‐differential equations with nonlocal conditions
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 251-256, 2002., 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
wiley +1 more source
Global asymptotic stability of nonlinear periodic impulsive equations
, 2018 Pseudo-linear impulsive differential equations in a Banach space are considered. It is assumed that the conditions of a small change in the operator coefficients of the equation are satisfied.
V. Slyn'ko, C. Tunç
semanticscholar +1 more source
On second order impulsive functional differential equations in Banach spaces
International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 45-52, 2002., 2002 In this paper, a fixed point theorem due to Schaefer is used to investigate the existence of solutions for second order impulsive functional differential equations in Banach spaces.
M. Benchohra, S. K. Ntouyas
wiley +1 more source
A Taylor-type numerical method for solving nonlinear ordinary differential equations
Alexandria Engineering Journal, 2013 A novel approximate method is proposed for solving nonlinear differential equations. Chang and Chang in [8] suggested a technique for calculating the one-dimensional differential transform of nonlinear functions.
H. Saberi Nik, F. Soleymani
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CONTROLLABILITY OF FRACTIONAL INTEGRODIFFERENTIAL SYSTEMS VIA SEMIGROUP THEORY IN BANACH SPACES [PDF]
, 2012 This paper focuses on controllability results of fractional integrodifferential systems in Banach spaces. We obtain sufficient conditions for the controllability results by using fractional calculus, semi-group theory and the fixed point ...
Bragdi, Mabrouk, Hazi, Mohammed
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On the viscosity rule for common fixed points of two nonexpansive mappings in CAT(0) spaces
, 2018 In this paper, we establish viscosity rule for common fixed points of two nonexpansive mappings in the framework of CAT(0) spaces. The strong convergence theorems of the proposed technique is proved under certain assumptions imposed on the sequence of ...
E. Bonyah, Maqbool Ahmad, I. Ahmad
semanticscholar +1 more source
Existence of Solutions of a Class of Abstract Second Order Nonlinear Integrodifferential Equations
International Journal of Stochastic Analysis, Volume 15, Issue 2, Page 115-124, 2002., 2002 In this paper we prove the existence of solutions of nonlinear second order integrodifferential equations in Banach spaces. The results are obtained by using the theory of strongly continuous cosine families of operators and the Schaefer fixed point theorem.
K. Balachandran, J. Y. Park
wiley +1 more source