Results 11 to 20 of about 60,181 (231)
Semilinear integrodifferential equations with nonlocal initial conditions
Computers & Mathematics with Applications, 2004 The paper is concerned with developing existence and uniqueness theorems for the Cauchy problem for semilinear integro-differential equations of convolution type. The sequence of theorems presented extends the existing results and can be applied, as is shown in the final section of the paper, to problems that arise in heat conduction in materials with ...
Liang, Jin, Xiao, Ti-Jun
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First-order differential inclusions with nonlocal initial conditions
Applied Mathematics Letters, 2002 It is considered the following nonlocal initial value problem \[ x'(t)\in F(t,x(t)),\quad t\in (0,1],\qquad x(0)+\sum_{k=1}^{m}a_{k}x(t_{k})=x_{0}, \tag{1} \] where \(F:(0,1]\times \mathbb{R}\to 2^{\mathbb{R}}\) is a set-valued map, \(x_{0}\in \mathbb{R}\) is given ...
Abdelkader Boucherif
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Controllability of semilinear boundary problems with nonlocal initial conditions
Journal of Mathematical Analysis and Applications, 2006 The authors consider a semilinear nonautonomous boundary problem with nonlocal initial conditions. First, they prove the existence of a mild solution of the problem by constructing a contractive map; the solution is given by a variation of constants formula. Ideas of preceeding papers (in press and preprint) are used.
Boulite, S., Idrissi, A., Maniar, L.
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Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition [PDF]
Advances in Difference Equations, 2011 We study the existence and uniqueness theorem for the nonlinear fractional mixed Volterra-Fredholm integrodifferential equation with nonlocal initial condition , where , , and is a given function.
Karthikeyan P, Trujillo JJ, Anguraj A
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Controllability of time varying semilinear non-instantaneous impulsive systems with delay, and nonlocal conditions [PDF]
Archives of Control Sciences, 2022 In this paper we prove the exact controllability of a time varying semilinear system considering non-instantaneous impulses, delay, and nonlocal conditions occurring simultaneously.
Dalia Cabada +3 more
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Integrodifferential evolution systems with nonlocal initial conditions [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 The paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the nonlinear terms of the equations to behave independently as much as possible, we use a vector approach based on matrices, vector-valued norms and a vector version of Krasnoselskii's fixed point theorem for a sum ...
Sylvain Koumla, Radu Precup
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Evolution equations with nonlocal initial conditions and superlinear growth [PDF]
Journal of Differential Equations, 2022 We carry out an analysis of the existence of solutions for a class of nonlinear partial differential equations of parabolic type. The equation is associated to a nonlocal initial condition, written in general form which includes, as particular cases, the Cauchy multipoint problem, the weighted mean value problem and the periodic problem. The dynamic is
Benedetti I., Ciani S.
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On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces [PDF]
Opuscula Mathematica, 2011 In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial ...
YanLong Yang, JinRong Wang
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Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics
Mathematical and Computational Applications, 2021 Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly expanding range of mathematical and computational applications due to the ability of such models to capture effects and phenomena that traditional models cannot ...
Dmytro Sytnyk, Roderick Melnik
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Functional differential equations with nonlocal initial conditions [PDF]
International Journal of Stochastic Analysis, 1996 We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m‐accretive operators and related evolution equations in Banach spaces.
Aizicovici, Sergiu, Gao, Yun
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