Existence and Uniqueness Based on Viscosity Solution
EXISTENCE AND UNIQUENESS OF THE SOLUTION OF THE COUPLED
... of existence and uniqueness of weak solution for this ...The existence of weak solution will be proved by showing that our problem is pseudomonotone and ...the solution will be ...
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Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
... Sobolev Embedding Theorem, Stampacchia’s Theorem, Existence, Uniquness 1. Introduction In recent years, many people pay attention to the fractional Laplacian. One of the reasons for this comes from the fact that ...
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Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations
... In this paper, motivated by 1–27 especially the estimating approaches given in 4, 6, 10, 24, 27, we investigate the existence and uniqueness of mild solution of 1.1 in a Banach space X: −A generates ...
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Existence and uniqueness of the solution of fractional damped dynamical systems
... the existence and uniqueness of the solution of fractional damped dynamical ...the existence of the solutions are derived from the application of fixed point theorems and inequalities such as ...
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Existence and uniqueness of the solution to a coupled fractional diffusion system
... Keywords: fractional diffusion system; initial boundary value problem; weak solution 1 Introduction The traditional diffusion equation has commonly been used to describe the phenomenon of Brownian motion. However, ...
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Existence and uniqueness theorem for a solution of fuzzy differential equations
... the existence and uniqueness of a solution of the fuzzy differential equation x (t) = f (t,x(t)), x(t 0 ) = x 0 ...-approximate solution of the above fuzzy differential ...fuzzy solution, ...
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New method for the existence and uniqueness of solution of nonlinear parabolic equation
... the existence of the unique solution of certain nonlinear parabolic equation is obtained by using the properties of H-monotone operators, consequently, the proof is simplified compared to the corresponding ...
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Existence and uniqueness of positive solution to singular fractional differential equations
... Recently, many results were obtained dealing with the existence of solutions for non- linear fractional differential equations by using the techniques of nonlinear analysis; see [–] and references therein. The ...
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Transport equations with fractal noise – existence, uniqueness and regularity of the solution
... Abstract. The main result of the present paper is a statement on existence, uniqueness and regularity for mild solutions to a parabolic transport diffusion type equation that involves a non-smooth ...
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The existence and uniqueness of the solution for nonlinear elliptic equations in Hilbert spaces
... mild solution of nonlinear Kolmogorov equations and found that the mild solution coincides with the value function of the control ...the existence and uniqueness of the mild solution ...
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Existence and Uniqueness of Positive Solution for Singular BVPs on Time Scales
... On time scales some results on existence and uniqueness of solutions in the sense of distribution for this equation can be found in the article 9. Considering classical solutions, oscillation properties ...
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Existence and uniqueness of solution for a class of nonlinear fractional differential equations
... unique solution of a general linear second order irregular boundary value problem can be obtained by fixing q = in Lemma ...the existence of solution (see ...
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The Existence and Uniqueness of Random Solution to Itô Stochastic Integral Equation
... Received May 8, 2012; revised June 8, 2012; accepted June 15, 2012 ABSTRACT The objective of this paper is to attempt to apply the theoretical techniques of probabilistic functional analysis to answer the question of ...
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Existence and uniqueness solution of an inverse problems for degenerate differential equations
... Khadug S. Sharnana & khadog − [email protected] Faculty of Science, Almerqeb University, Alkhomes, Libya Abstract In this paper we concerned with study existence and uniqueness of solutions for a class of ...
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Existence and Uniqueness of Solution of a Mathematical Model of T cell Infection by HIV
... examines existence and uniqueness of solutions of the model equations proposed in [3] for the dynamics of HIV infection in T ...on existence and uniqueness of solutions and establish the proof ...
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Existence and uniqueness of positive periodic solution for ϕ-Laplacian Liénard equation
... References 1. Cheung, WS, Ren, JL: On the existence of periodic solutions for p-Laplacian generalized Liénard equation. Nonlinear Anal. TMA 60, 65-75 (2005) 2. Ge, WG, Ren, JL: An extension of Mawhin’s ...
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The Existence and Uniqueness of Solution of Duffing Equations with Non- Perturbation Functional at Nonresonance
... The existence of unique solution for the problem is studied by using the minimax theorem due to Huang ...The existence and uniqueness result was presented under a generalized nonresonance ...
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Schrödinger-type identity to the existence and uniqueness of a solution to the stationary Schrödinger equation
... the existence and uniqueness of a solution to the stationary Schrödinger equation in the sense of the Weyl law, which advances the recent results obtained in several articles even in a more general ...
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Existence and Uniqueness of Very Singular Solution of a Degenerate Parabolic Equation with Nonlinear Convection
... the existence and uniqueness of the nontrivial, nonnegative solutions of a nonlinear ordinary differential equation: |f | p−2 f βrf αf f q 0 satisfying a specific decay rate: lim r → ∞ r α/β fr 0 with α : ...
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Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations
... We study periodic solutions for nonlinear second-order ordinary differential problem x ft, x, x 0. By constructing upper and lower boundaries and using Leray-Schauder degree theory, we present a result about the ...
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