Results 21 to 30 of about 57 (56)
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 163-170, 2003., 2003 The existence of mild solutions of Sobolev‐type semilinear mixed integrodifferential inclusions in Banach spaces is proved using a fixed point theorem for multivalued maps on locally convex topological spaces.
M. Kanakaraj, K. Balachandran
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Integrodifferential equations with analytic semigroups
International Journal of Stochastic Analysis, Volume 16, Issue 2, Page 177-189, 2003., 2003 In this paper we study a class of integrodifferential equations considered in an arbitrary Banach space. Using the theory of analytic semigroups we establish the existence, uniqueness, regularity and continuation of solutions to these integrodifferential equations.
D. Bahuguna
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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
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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
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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
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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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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
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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
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A Comparative Study of the Pendulum Equation Using Two Analytical Methods
Journal of Mathematics, Volume 2024, Issue 1, 2024.This paper presents a comprehensive comparison between the modified harmonic balance method (MHBM) and He’s frequency formulation (HFF) for solving the nonlinear dynamics of an excited pendulum constrained by a crank‐shaft‐slider mechanism (CSSM).
Nazmul Sharif +2 more
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On the correct formulation of a nonlinear differential equations in Banach space
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 7, Page 437-444, 2001., 2001 We study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation (dn−1/dtn−1)(du/dt + Au) = B(t)u + f(t, W(t)), and consider the correct solution of this problem. We also give an application of the theory of partial differential equations.
Mahmoud M. El-Borai +2 more
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