Existence and uniqueness of the entropy solution to a ...
Recommend Documents
Recently, fractional differential equations have been verified to be valuable tools in the modeling of many phenomena in various fields of science and ...
Apr 29, 2003 - nonlinear PDE's system, existence and uniqueness results. .... Before stating and proving our main existence and uniqueness theorems, let.
in (1.1c) but for a nonlinear heat equation, existence and uniqueness are ... of a weak solution of the Navier-Stokes equation, see Theorem 3.1 below). In the.
In this paper,we will investigate existence and uniqueness of solution of fuzzy ... characterized those subsets of fuzzy sets in which the peano theorem is valid.
Oct 21, 2011 - Competitiveness (âPrograma Operacional Factores de Competitividadeâ) and by Portuguese funds through the Center for Research and ...
We study the existence of solutions for the following second-order boundary value problem (BVP)(P1 ... in uniqueness and existence theorems. We end our work ...
fractional differential equation by Banach fixed point theorem under Lipschitz and .... following: (i) C0 = 0 and almost all sample paths are Lipschitz continuous,.
Jan 23, 2018 - We prove the existence and the uniqueness of solutions for Caginalp hyperbolic .... (Uniqueness) If the assumptions of the theorem (1) hold.
differential equation in Banach spaces, Perov's fixed point theorem is used. ... [8] Dhage, B.C., Existence and uniqueness theorems for nonlinear boundary value ...
Jun 3, 2008 - Existence and uniqueness of an entropy solution is established. ... Existence, uniqueness and continuous dependence on the absorption term ...
Sep 20, 2006 - EXISTENCE AND UNIQUENESS OF A POSITIVE SOLUTION ... not use the fundamental multiplicity theorem and the mountain-pass lemma.
Abstract: The problem of the motion of a filtration front in a zero background in the case of a power-law dependence of the filtration coefficient on gas density is ...
sense, R. Machuca [30] proved a coincidence theorem by using Banach's ... Existence and Uniqueness of Solution to Several Kinds of Differential Equations.
Existence and uniqueness solution of a class of quasilinear parabolic boundary control problems. M. H. Farag1, T. A. Talaat2 and E. M. Kamal3. Minia University ...
Aug 21, 2013 - the last two decades, the existence and uniqueness of solution for SDEs have .... show the existence, uniqueness theorem and the properties.
In this paper we study the existence and possible uniqueness of positive solutions of the ... In each step, the authors use [17], Theorem 8.3, page 301, and so.
First, we prove a theorem and some corollaries about existence and uniqueness of solution of the NVPIDEs. Next, we develop the two-dimensional reduced ...
and sufficient conditions for the existence and uniqueness of solution to problem ..... From Fubini's theorem, we interchange the order of integra- tion to obtain a.
Takahashi's existence theorem. Afterward, Du [ ] proved the existence of a fixed point for some nonlinear mappings by using a specific w-distance, called a ...
1 Jul 2015 - (for example) existence, uniqueness and continuous arising from the Laplace transform method. In addition, we make use of obtaining.
Jan 1, 2017 - It is an immediate consequence of Theorem 1 in [2] that if h is a ... proof of the existence and uniqueness result in [4] is supplied. 2.
In this paper, we prove an important existence and uniqueness theorem for a fractional order Fredholm â. Volterra integro-differential equation with non-local ...
Time-fractional FokkerâPlanck equation with general forcing. 3 ..... Taking the inner product of both sides of (7) with Jαum(t) â Wm then integrating by parts.
Abstract. The thermo-elastic plate system of equations is analysed. The sufficient conditions of existence, uniqueness and continuity depen- dence on initial data ...
Existence and uniqueness of the entropy solution to a ...
Abstract. This work is concerned with the proof of the existence and uniqueness of the entropy weak solution to the following nonlinear hyperbolic equation: ut + ...