Results 261 to 270 of about 4,589 (305)
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Perturbed Nonlocal Stochastic Functional Differential Equations
Qualitative Theory of Dynamical Systems, 2020The authors discuss the asymptotic behavior of the solution for a class of perturbed nonlocal stochastic functional differential equations. They evaluate the distance between the latter and of the unperturbed solution, in finite time-intervals, and on maximal intervals as the small perturbations tend to zero. These results non-trivially extend previous
Zhang, Qi, Ren, Yong
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Journal of Dynamics and Differential Equations, 2015 We consider an initial value problem for a nonlocal differential equation with a bistable nonlinearity in several space dimensions. The equation is an ordinary differential equation with respect to the time variable t, while the nonlocal term is ...
Danielle Hilhorst +2 more
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Fuzzy differential equation with nonlocal condition
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jong-Yeoul Park +2 more
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Impulsive nonlocal differential equations through differential equations on time scales
Applied Mathematics and Computation, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mieczyslaw Cichon +2 more
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ASYMPTOTICALLY ALMOST PERIODIC SOLUTIONS TO NONLOCAL DIFFERENTIAL EQUATIONS
Rocky Mountain Journal of Mathematics, 2022The paper is focused on the nonlocal fractional differential equation with an initial condition \[ \left\{\begin{array}{l}\displaystyle\frac{d}{dt}\left[k*(u-u_0)\right](t)+Au(t)=f(t,u(t)),\,\,\,t>0,\\ u(0)=u_0, \end{array}\right.\tag{1} \] where \(u:[0,\infty)\to H\) is the unknown function, \(H\) is a separable Hilbert space, the kernel \(k\in L_ ...
Nguyen, Huong T. T. +2 more
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On the solvability of a nonlocal problem for a Boussinesq-type differential equation
Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023We study a nonlocal problem for a differential Boussinesq-type equations in a multidimensional domain. Conditions for the existence and uniqueness of the solution are established, and a spectral decomposition of the solution is obtained.
Khalmukhamedov, A. R., Kuchkorov, E. I.
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On Differential Equations with Nonlocal Switch Functionals
Journal of Mathematical Sciences, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optimal control problems for some nonlocal differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2001The direct methods of calculus were used to analyze the optimal control problems for some nonlocal differential equations. The problems involved functional-differential equations with argument deviation. The relaxation of a variational problem involving a local functional was reduced to some well-known convexification of the integrand.
Drakhlin M., Litsyn E., Stepanov E.
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Regular problem for solutions of a retarded semilinear differential nonlocal equation
Computers and Mathematics With Applications, 2002 This paper deals with the regularity and existence of solutions of a retarded semilinear differential equation with nonlocal condition by using the fundamental solution in the case where the principal operators are unbounded ...
Jin-Mun Jeong
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Nonlocal Intuitionistic Fuzzy Differential Equation
2020In this paper, we shall prove the existence and uniqueness theorem of solution of intuitionistic fuzzy differential equation with nonlocal condition by using the contraction mapping principle and we establish some property of the solution like the continuous dependence.
R. Ettoussi, Said Melliani, S. Chadli
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