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Unique Solvability of a Boundary Value Problem for a Loaded Fractional Parabolic-Hyperbolic Equation with Nonlinear Terms [PDF]

open access: yesLobachevskii Journal of Mathematics, 2021
This work is devoted to study the existence and uniqueness of solution of an analogue of the Gellerstedt problem with nonlocal assumptions on the boundary and integral gluing conditions for the parabolic-hyperbolic type equation with nonlinear terms and ...
Yuldashev T, Abdullaev O.
europepmc   +2 more sources

Stability of the time-dependent identification problem for delay hyperbolic equations [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
Time-dependent and space-dependent source identification problems for partial differential and difference equations take an important place in applied sciences and engineering, and have been studied by several authors.
A. Ashyralyev, B. Haso
doaj   +3 more sources

Direct and inverse problems for a parabolic-hyperbolic equation involving Riemann–Liouville derivatives

open access: yesTRANSACTIONS ISSUE MATHEMATICS, 2023
. This work is devoted to the investigation of direct and inverse problems with nonlinear gluing condition for a mixed parabolic-hyperbolic equation involves Riemann–Liouville time fractional derivatives.
O. Kh   +8 more
semanticscholar   +1 more source

On green’s function of second darboux problem for hyperbolic equation

open access: yesВестник КазНУ. Серия математика, механика, информатика, 2022
A definition and justify a method for constructing the Green’s function of the second Darboux problem for a two-dimensional linear hyperbolic equation of the second order in a characteristic triangle is given.
B. Derbissaly
doaj   +1 more source

Connections between reflected entropies and hyperbolic string vertices

open access: yesJournal of High Energy Physics, 2022
In this paper, we establish connections between the reflected entropies of multipartite mixed states in CFT2 and hyperbolic string vertices of closed string field theory (CSFT).
Peng Wang, Houwen Wu, Haitang Yang
doaj   +1 more source

The Cauchy problem for a general hyperbolic differential equation of the n-th order with the nonmultiple characteristics

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
doaj   +1 more source

Dunkl Hyperbolic Equations [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
We introduce and study the Dunkl symmetric systems. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite speed of it. Next the semi-linear Dunkl-wave equations are also studied.
openaire   +4 more sources

The Goursat-type problem for a hyperbolic equation and system of third order hyperbolic equations

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
In the first part of this study, the well-posed Goursat-type problem is considered for the hyperbolic differential equation of the third order with non-multiple characteristics.
Aleksandr Anatol'evich Andreev   +1 more
doaj   +1 more source

Hyperbolic integrodifferential equations [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Hyperbolic integrodifferential equations are defined and conditions sufficient for hyperbolicity are given. The theory includes that of constant coefficient hyperbolic partial differential equations. Other examples are given.
openaire   +1 more source

Complex optical solutions and modulation instability of hyperbolic Schrödinger dynamical equation

open access: yesResults in Physics, 2019
Complex hyperbolic Schrödinger equation describes ultra-short pulse propagation in nonlinear media fiber optics. In this paper, new complex solutions for the complex hyperbolic Schrödinger equation are constructed using generalized elliptic equation ...
Wilson Osafo Apeanti   +2 more
doaj   +1 more source

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