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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the ...
A.T. Assanova, Zh.S. Tokmurzin
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On the Use of Discrete Fourier Transform for Solving Biperiodic Boundary Value Problem of Biharmonic Equation in the Unit Rectangle [PDF]
, 2003 This note is addressed to solving biperiodic boundary value problem of biharmonic equation in the unit rectangle. First, we describe the necessary tools, which is discrete Fourier trans- form for one dimensional periodic sequence, and then extended the ...
GARNADI, A. D. (A)
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Solvability of a fourth order boundary value problem with periodic boundary conditions
International Journal of Mathematics and Mathematical Sciences, 1988 Fourth order boundary value problems arise in the study of the equilibrium of an elastaic beam under an external load. The author earlier investigated the existence and uniqueness of the solutions of the nonlinear analogues of fourth order boundary value
Chaitan P. Gupta
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The Kuramoto–Sivashinsky equation. A Local Attractor Filled with Unstable Periodic Solutions
Моделирование и анализ информационных систем, 2018 A periodic boundary value problem is considered for one version of the KuramotoSivashinsky equation, which is widely known in mathematical physics. Local bifurcations in a neighborhood of the spatially homogeneous equilibrium points in the case when they
Anatoli N. Kulikov, Dmitri A. Kulikov
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Boundary Value Problems, 2023 This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential equations (QDEs).
Jie Liu, Siyu Sun, Zhibo Cheng
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Oscillatory processes in the theory of particulate formation in supersaturated chemical solutions [PDF]
, 1975 We study a nonlinear problem which occurs in the theory of particulate formation in supersaturated chemical solutions. Mathematically, the problem involves the bifurcation of time-periodic solutions in an initial-boundary value problem involving a ...
Cohen, Donald S., Keener, James P.
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Singularly perturbed higher order periodic boundary value problems
Journal of Mathematical Analysis and Applications, 2004 Let \(n\), \(N\in\mathbb{N}\), \(n\geq 2\), \(N\geq 1\), \(T> 0\) and \(\mathbb{R}^+= (0,\infty)\). The authors consider the \(n\)th-order differential system in \(\mathbb{R}^N\) \[ x^{(n)}+ A_{n-1} x^{(n- 1)}+\cdots+ A_1x'+ A_0f(t, x)= e(t)\tag{1} \] together with the periodic boundary conditions \[ x(0)= x(T),\quad x'(0)= x'(T),\dots, x^{(n-1)}(0)= x^
NJOKU F. I., OMARI, PIERPAOLO
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On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations
Abstract and Applied Analysis, 2012 We study an antiperiodic boundary value problem of nonlinear fractional differential equations of order q∈(4,5]. Some existence results are obtained by applying some standard tools of fixed-point theory.
Ahmed Alsaedi +2 more
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Existence of solution to a periodic boundary value problem for a nonlinear impulsive fractional differential equation [PDF]
, 2014 We study the existence of solution to a periodic boundary value problem for nonlinear impulsive fractional differential equations by using Schaeffer’s fixed point ...
Belmekki, Mohammed +2 more
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Combinatorial Bethe ansatz and ultradiscrete Riemann theta function with rational characteristics
, 2007 The U_q(\hat{sl}_2) vertex model at q=0 with periodic boundary condition is an integrable cellular automaton in one-dimension. By the combinatorial Bethe ansatz, the initial value problem is solved for arbitrary states in terms of an ultradiscrete ...
A. Kuniba +20 more
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