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 the Existence of Singular Solutions [PDF]
Abstract Sufficient conditions are given, under which the equation 𝑦(𝑛) = ƒ(𝑡, 𝑦, 𝑦′, . . . , 𝑦(𝑙))𝑔(𝑦(𝑛 – 1)) has a singular solution 𝑦[𝑇, τ) → 𝐑, τ < ∞ satisfying , 𝑖 = 0, 1, . . . , 𝑙 and for 𝑗 = 𝑙 + 1, . . . , 𝑛 – 1 where 𝑙 ∈ {0, 1, . . . , 𝑛 – 2}.
Bartušek, M., Osička, J.
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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 and solution methods for equilibria [PDF]
Equilibrium problems provide a mathematical framework which includes optimization, variational inequalities, fixed-point and saddle point problems, and noncooperative games as particular cases. This general format received an increasing interest in the last decade mainly because many theoretical and algorithmic results developed for one of these models
BIGI, GIANCARLO +3 more
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On the Existence of Solutions of Nonlinear Fredholm Integral Equations from Kantorovich’s Technique
The well-known Kantorovich technique based on majorizing sequences is used to analyse the convergence of Newton’s method when it is used to solve nonlinear Fredholm integral equations. In addition, we obtain information about the domains of existence and
José Antonio Ezquerro +1 more
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On the existence of Canard solutions [PDF]
We study the existence of global canard surfaces for a wide class of real singular perturbation problems. These surfaces define families of solutions which remain near the slow curve as the singular parameter goes to zero.
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