Results 11 to 20 of about 53,002 (179)
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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The one-dimensional heat equation with a nonlocal initial condition
Applied Mathematics Letters, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Olmstead, W.E., Roberts, C.A.
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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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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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On a multipoint nonlocal initial value problem for a singularly-perturbed first-order ODE [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 A linear first order ordinary differential equation (ODE) with a positive parameter $\varepsilon$ and a multipoint nonlocal initial value condition (NLIVC) is considered.
Dovlet M. Dovletov
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A study of Hilfer-Katugampola type pantograph equations with complex order
Examples and Counterexamples, 2022 This article deals with existence, uniqueness and Ulam–Hyers–Rassias stability solutions for complex order Hilfer-Katugampola type pantograph equations involving initial and nonlocal condition.
S. Harikrishnan +3 more
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Asymptotic analysis of Sturm-Liouville problem with Robin and two-point boundary conditions
Lietuvos Matematikos Rinkinys, 2022 We analyze the initial value problem and get asymptotic expansions for solution. We investigate the characteristic equation for Sturm-Liouville problem with one classical Robin type boundary condition and another two-point nonlocal boundary condition ...
Artūras Štikonas
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Journal of Function Spaces, 2021 This paper deals with a class of quasilinear parabolic equation with power nonlinearity and nonlocal source under homogeneous Dirichlet boundary condition in a smooth bounded domain; we obtain the blow-up condition and blow-up results under the condition
Xiaorong Zhang, Zhoujin Cui
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Advances in Difference Equations, 2020 The objective of this paper is to investigate the approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps in a Hilbert space.
A. Anguraj +2 more
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