Nonlocal problems for hyperbolic equations with degenerate integral conditions
Electronic Journal of Differential Equations, 2016 In this article, we consider a problem for hyperbolic equation with standard initial data and nonlocal condition. A distinct feature of this problem is that the nonlocal second kind integral condition degenerates and turns into a first kind.
Ludmila S. Pulkina
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Bilinear Control of a Degenerate Hyperbolic Equation
SIAM Journal on Mathematical Analysis, 2023 We consider the linear degenerate wave equation, on the interval $(0, 1)$ $$ w_{tt} - (x^ w_x)_x = p(t) (x) w, $$ with bilinear control $p$ and Neumann boundary conditions. We study the controllability of this nonlinear control system, locally around a constant reference trajectory, the ground state.
Piermarco Cannarsa +2 more
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Explicit solutions of Cauchy problems for degenerate hyperbolic equations with Transmutations methods [PDF]
Mathematics and Modeling in Finance, 2022 This article's primary goal is to compute an explicit transmutation-based solution to a degenerate hyperbolic equation of second order in terms of time.
Mahdieh Aminian Shahrokhabadi +1 more
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Nonlinear anisotropic degenerate parabolic-hyperbolic equations with stochastic forcing [PDF]
Journal of Functional Analysis, 2021 47 ...
Chen, G-QG, Pang, PHC
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Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Applied Mathematics in Science and Engineering, 2023 The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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On the unique solvability of a nonlocal boundary value problem with the poincaré condition [PDF]
E3S Web of Conferences, 2023 As is known, it is customary in the literature to divide degenerate equations of mixed type into equations of the first and second kind. In the case of an equation of the second kind, in contrast to the first, the degeneracy line is simultaneously the ...
Abdullaev A. A. +2 more
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Comparison of critical behaviors of elliptic and hyperbolic quadratic algebraic equations with variable coefficients [PDF]
INCAS Bulletin, 2015 A comparison of the behaviours of the elliptic with those of hyperbolic quadratic algebraic equations (QAEs) with free and linear variable coefficients, in vicinity of their critical surfaces is made.
Adriana NASTASE
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The problem with shift for a degenerate hyperbolic equation of the first kind [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems. Theorems on an existence
Zhiraslan A. Balkizov
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On Behavior of Solution of Degenerated Hyperbolic Equation [PDF]
ISRN Applied Mathematics, 2012 The purpose of this paper is to learn some features of hyperbolic type of nonlinear equations. It is shown that the solution of the equation approaches to the endlessness in the inside of some initial conditions and time of the special marks. The local existence of the equation’s solution has been proved and the problem of unlimited increasing on the ...
Gadjiev, Tahir +2 more
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Global Weak Solution, Uniqueness and Exponential Decay for a Class of Degenerate Hyperbolic Equation
Communications in Advanced Mathematical Sciences, 2022 This paper deals with existence, uniqueness and energy decay of solutions to a degenerate hyperbolic equations given by \begin{align*} K(x,t)u'' - M\left(\int_\Omega |\nabla u|^2\,dx \right) \Delta u - \Delta u' = 0, \end{align*} with operator ...
Carlos Raposo, Ducival Pereira
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