Results 31 to 40 of about 825 (124)
Global and blow-up solutions for quasilinear parabolic equations with a gradient term and nonlinear boundary flux [PDF]
, 2014 This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global and blow-up solutions.
Changjun Li, Lu Sun, Zhong Fang
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On the structure of ionizing shock waves in magnetofluiddynamics
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 7, Page 395-415, 2002., 2002 Ionizing shock waves in magnetofluiddynamics occur when the coefficient of electrical conductivity is very small ahead of the shock and very large behind it. For planner motion of plasma, the structure of such shock waves are stated in terms of a system of four‐dimensional equations.
A. Aghajani, M. Hesaaraki
wiley +1 more source
Coupled system of a fractional order differential equations with weighted initial conditions
Open Mathematics, 2019 Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A. +1 more
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On the equivalence of three-dimensional differential systems
Open Mathematics, 2020 In this paper, firstly, we study the structural form of reflective integral for a given system. Then the sufficient conditions are obtained to ensure there exists the reflective integral with these structured form for such system.
Zhou Jian, Zhao Shiyin
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The unique continuation property for a nonlinear equation on trees [PDF]
, 2014 In this paper, we study the game p-Laplacian on a tree, that is, u(x) = α / 2 max y∈S(x) u(y) + min y∈S(x) u(y) + β m y∈S(x) u(y);here x is a vertex of the tree and S(x) is the set of successors of x. We study the family of the subsets of the tree that
del Pezzo, Leandro Martin +2 more
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Existence results and continuity dependence of solutions for fractional equations
, 2020 Using two fractional-order integral inequalities we investigate the existence and uniqueness of solutions of the fractional nonlinear Volterra integral equation and the fractional nonlinear integrodifferential equation in Banach space Cξ , using an ...
J. V. C. Sousa
semanticscholar +1 more source
International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
wiley +1 more source
Theory and applications of first-order systems of Stieltjes differential equations
Advances in Nonlinear Analysis, 2017 We set up the basic theory of existence and uniqueness of solutions for systems of differential equations with usual derivatives replaced by Stieltjes derivatives.
Frigon Marlène, Pouso Rodrigo López
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An Extension of the Well-Posedness Concept for Fractional Differential Equations of Caputo's Type [PDF]
, 2013 It is well known that, under standard assumptions, initial value problems for fractional ordinary differential equations involving Caputo-type derivatives are well posed in the sense that a unique solution exists and that this solution continuously ...
Diethelm, Kai
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Well posedness for evolution inclusions
International Journal of Stochastic Analysis, Volume 7, Issue 4, Page 537-544, 1994., 1994 We prove the existence of a continuous selection of the multivalued map φ → Φ(φ) which is the set of all mild solutions of the evolution inclusion Here F is a multivalued map, Lipschitzian with respect to x, and A is the infinitesimal generator of a C0‐semigroup.
K. Balachandran, A. Anguraj
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