Results 31 to 40 of about 1,364,858 (220)

THE BOUNDARY VALUE PROBLEM FOR THIRD ORDER EQUATION OF PARABOLIC–HYPERBOLIC TYPE [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
In this paper we study the boundary value problem for third order equation of parabolic-hyperbolic type. The existence and uniqueness theorem of a regular solution is proved. The solution to the problem under study was found explicitly.
R. Kh. Makaova
doaj   +1 more source

Existence of weak solutions for abstract hyperbolic‐parabolic equations [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
In this paper we study the Existence and Uniqueness of solutions for the following Cauchy problem: urn:x-wiley:01611712:media:ijmm283109:ijmm283109-math-0001 urn:x-wiley:01611712:media:ijmm283109:ijmm283109-math-0002 where A1 and A2 are bounded linear operators in a Hilbert space H, {A(t)}0≤t≤T is a family of self‐adjoint operators, M is a non ...
openaire   +3 more sources

On some conjugation problems of parabolic and hyperbolic equations with integro-differential conditions on the separating boundary

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
The one-valued solvability of the conjugation problems of parabolic and hyperbolic equations in finite domains was proved by the method of equivalent reduction to Volterra integral equation of the second kind.
V. A. Eleev, A. Kh. Balkizova
doaj   +3 more sources

ABOUT THREE-DIMENSIONAL ANALOGUE OF THE PROBLEM OF TRICOMI WITH PARALLEL PLANES OF EXTINCTION [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018
Three-dimensional analogue of the problem of Tricomi with non-characteristic parallel planes of change of types of the equation is investigated for a parabolic-hyperbolic equation.
Yu.P. Apakov
doaj   +1 more source

Stability of Entropy Solutions for Levy Mixed Hyperbolic-Parabolic Equations

open access: yesElectronic Journal of Differential Equations, 2009
20 pages, no figures.
Kenneth H. Karlsen, Suleyman Ulusoy
openaire   +4 more sources

Nonlinear dispersion in parabolic law medium and its optical solitons

open access: yesResults in Physics, 2021
This paper studies the optical soliton solutions of a nonlinear Schrödinger equation (NLSE) involving parabolic law of nonlinearity with the presence of nonlinear dispersion by using the generalized auxiliary equation technique.
Lanre Akinyemi   +7 more
doaj   +1 more source

Mixed problem for a third order parabolic-hyperbolic model equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
In 1978, the journal Differential Equations published an article by A.M. Nakhushev, that presented a method for correctly formulating a boundary value problem for a class of second-order parabolic-hyperbolic equations in an arbitrarily bounded domain ...
Zh.A. Balkizov
doaj   +1 more source

Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
doaj   +1 more source

Stability of difference schemes for hyperbolic-parabolic equations

open access: yesComputers & Mathematics with Applications, 2005
The author study the stability of finite difference schemes for the hyperbolic-parabolic equation with a nonlocal initial condition: \[ \begin{alignedat}{3} u_{tt}(t)+Au(t)&=f(t),&\quad 0&\leq t\leq 1,&\quad &u(-1)= \alpha u(\mu )+\beta u'(\lambda )+\varphi ,\\ u_t(t)+Au(t)&=g(t), &\quad-1&\leq t\leq 0, &\quad &| \alpha| ,| \beta | \leq 1, \quad ...
Ashyralyev, A., Ozdemir, Y.
openaire   +1 more source

Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics

open access: yesAdvanced Science, EarlyView.
The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet   +8 more
wiley   +1 more source

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