On a degenerate hyperbolic problem for the 3-D steady full Euler equations with axial-symmetry
The transonic channel flow problem is one of the most important problems in mathematical fluid dynamics. The structure of solutions near the sonic curve is a key part of the whole transonic flow problem. This paper constructs a local classical hyperbolic
Hu Yanbo, Li Fengyan
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Explicit solutions of Cauchy problems for degenerate hyperbolic equations with Transmutations methods [PDF]
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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Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
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]
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]
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]
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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Global Weak Solution, Uniqueness and Exponential Decay for a Class of Degenerate Hyperbolic Equation
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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Identification for Degenerate Differential Problems of Hyperbolic Type
A degenerate identification problem in Hilbert space is considered. An application to second order evolution equations of hyperbolic type is also provided. The abstract results are applied to concrete differential problems.
Angelo Favini
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Identification for General Degenerate Problems of Hyperbolic Type
A degenerate identification problem in Hilbert space is described, improving a previous paper [2]. An application to second order evolution equations of hyperbolic type is given.
Angelo Favini, Gabriela Marinoschi
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Delta-problems for the generalized Euler-Darboux equation
Degenerate hyperbolic equations are dealing with many important issues for applied nature. While a variety of degenerate equations and boundary conditions, successfully matched to these differential equation, most in the characteristic coordinates ...
Irina N Rodionova +2 more
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