Existence of the solution to a nonlocal-in-time evolutional problem [PDF]
This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the convenient technique based on the reduction of a nonlocal problem to its ...
Volodymyr Makarov +2 more
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Existence of a Period-Two Solution in Linearizable Difference Equations [PDF]
Consider the difference equation xn+1=f(xn,…,xn−k),n=0,1,…, where k∈{1,2,…} and the initial conditions are real numbers. We investigate the existence and nonexistence of the minimal period-two solution of this equation when it can be rewritten as the ...
E. J. Janowski, M. R. S. Kulenović
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Existence solution of a Biharmonic-type Kirchhoff-Schrödinger-Maxwell system [PDF]
This article addresses the following biharmonic type of the Kirchhoff-Schrödinger-Maxwell system;∆2 w − (a1 +b1∫RN |∇w| 2 )∆w + ηψw = q(w) in RN,−∆ψ = ηw2 in RN ...
Seyed Nasser Ahmadi, Mohsen Alimohammady
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On some analogues of periodic problems for Laplace equation with an oblique derivative under boundary conditions [PDF]
In this paper, we study solvability of new classes of nonlocal boundary value problems for the Laplace equation in a ball. The considered problems are multidimensional analogues (in the case of a ball) of classical periodic boundary value problems in ...
Batirkhan Turmetov +2 more
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Existence of a solution of the quasi-variational inequality with semicontinuous operator [PDF]
The paper considers quasi-variational inequalities with point to set operator. The existence of a solution, in the case when the operator of the quasi-variational inequality is semi-continuous and the feasible set is convex and compact, is proved.
Jovanov Đurica S.
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On one boundary value problem for the fourth-order equation in partial derivatives
he initial-boundary problem for the heat conduction equation inside a bounded domain is considered. It is supposed that on the boundary of this domain the heat exchange takes place according to Newton’s law.
Kilichov, O.Sh., Ubaydullaev, A.N.
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On a nonlocal boundary-value problem for a loaded parabolic-hyperbolic equation with three lines of degeneracy [PDF]
The work is devoted to the proof of the uniqueness and existence of a solution of a nonlocal problem for a loaded parabolic-hyperbolic equation with three lines of change of type.
Bozor I. Islomov, Jurat A. Xolbekov
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Existence of Solutions for a Nonlinear Algebraic System [PDF]
As well known, the existence and nonexistence of solutions for nonlinear algebraic systems are very important since they can provide the necessary information on limiting behaviors of many dynamic systems, such as the discrete reaction‐diffusion equations, the coupled map lattices, the compartmental systems, the strongly damped lattice systems, the ...
Guang Zhang, Liang Bai
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Existence of solutions of a nonlinear differential equation [PDF]
A criterion is proved for the existence of at least one solution to the equation u + u = g ( u ) + h u + u = g(u) + h with u ( 0 ) = u ( π ) = 0 u(0) = u(\pi ) = 0 , where
Cesari, L., Kannan, R.
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Existence of solutions to a diffusive shallow medium equation [PDF]
AbstractIn this article, we establish the existence of weak solutions to the shallow medium equation. We proceed by an approximation argument. First, we truncate the coefficients of the equation from above and below. Then, we prove convergence of the solutions of the truncated problem to a solution to the original equation.
Bögelein, Verena +2 more
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