Results 21 to 30 of about 5,757 (244)

Feedback exponential stabilization of the semilinear heat equation with nonlocal initial conditions [PDF]

Nonlinear Analysis, 2021
The present paper is devoted to the problem of stabilization of the one-dimensional semilinear heat equation with nonlocal initial conditions. The control is with boundary actuation.
Ionuţ Munteanu
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Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions [PDF]

Journal of Ocean Engineering and Science, 2018
In this paper, we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary conditions.
N.A. Al-Zaid, H.O. Bakodah
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Existence results for dynamic inclusions on time scales with nonlocal initial conditions [PDF]

Computers & Mathematics with Applications, 2007
The paper concerns the existence of solutions for first order dynamic inclusions on time scales with nonlocal initial conditions of the type \[ \begin{cases} y^{\triangle}(t)+p(t)y^{\sigma}(t)\in F(t,y(t)) & \text{ a.e. } t\in [0,b], \\ y(0)+\sum_{k=1}^{m} c_ky(t_k)=y_0, \end{cases} \] where \({T}\) is a nonempty, closed subset of \(\mathbb R\) (time ...
Yong-Kui Chang, Wan-Tong Li
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Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm [PDF]

Advances in Difference Equations, 2011
In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup ...
Wang Rong-Nian, Liu Jun, Chen De-Han
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Existence of Solutions in Some Interpolation Spaces for a Class of Semilinear Evolution Equations with Nonlocal Initial Conditions [PDF]

Journal of Function Spaces and Applications, 2013
This paper is concerned with the existence of mild and strong solutions for a class of semilinear evolution equations with nonlocal initial conditions.
Jung-Chan Chang, Hsiang Liu
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Multiple positive solutions of parabolic systems with nonlinear, nonlocal initial conditions [PDF]

Journal of the London Mathematical Society, 2016
In this paper we study the existence, localization and multiplicity of positive solutions for parabolic systems with nonlocal initial conditions. In order to do this, we extend an abstract theory that was recently developed by the authors jointly with Radu Precup, related to the existence of fixed points of nonlinear operators satisfying some upper and
INFANTE, GENNARO, Maciejewski M.
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Existence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions [PDF]

Abstract and Applied Analysis, 2012
Using Hausdorff measure of noncompactness and a fixed‐point argument we prove the existence of mild solutions for the semilinear integrodifferential equation subject to nonlocal initial conditions , t ∈ [0,1], u(0) = g(u), where A : D(A)⊆X → X, and for every t ∈ [0,1] the maps B(t) : D(B(t))⊆X → X are linear closed operators defined in a Banach space ...
Lizama, Carlos, Pozo, Juan C.
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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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Initial-value problems for first-order differential systems with general nonlocal conditions [PDF]

Electronic Journal of Differential Equations, 2012
This article concerns the existence of solutions to initial-value problems for nonlinear first-order differential systems with nonlocal conditions of functional type.
Octavia Nica
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Stability of nonlinear impulsive higher order differential – fractional integral delay equations with nonlocal initial conditions

Wasit Journal for Pure Sciences, 2023
The aim of this paper is to investigate some types of stability such as generalized Hyers-Ulam- Rassias stability(G-H-U-R-stabile) and the relation with Hyers-Ulam(H-U-stabile) stable and Hyers-Ulam-Rassias stable (H-U-R-stabile) and generalized Hyers ...
Ahmed Adnan Hashem Aljumaili, Sameer Qasim Hasan Alasadi   +1 more
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