Uniqueness of a Solution
A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations
... We have obtained a simple necessary and sufficient condition on f for uniqueness of the trivial solution in a semilinear parabolic equation with con- tinuous, increasing nonlinearity f . There were several ...
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Existence and uniqueness of the solution of fractional damped dynamical systems
... In this paper, we consider the existence and uniqueness of the solution of fractional damped dynamical systems. First, we obtain the spreading form of the Gronwall inequality. Furthermore, several sufficient ...
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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 ...and uniqueness of the mild solution for semilinear elliptic ...
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The Existence and Uniqueness of Random Solution to Itô Stochastic Integral Equation
... The objective of this paper is to attempt to apply the theoretical techniques of probabilistic functional analysis to answer the question of existence and Uniqueness of a Random Solution to Itô Stochastic ...
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The uniqueness of the solution for the definite problem of a parabolic variational inequality
... The problem is derived from the study of the optimal exercise strategy of the perpetual ESOs with unrestricted exercise in financial market. Because the variational inequality is degenerate, and the obstacle condition ...
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Existence and uniqueness theorem for a solution of fuzzy differential equations
... a solution provided f is continuous and satisfies a Lipschitz condition by ...and uniqueness theorem for a solution of the fuzzy differential equation x (t) = f (t,x(t)) when f satisfies the Lipschitz ...
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Existence and uniqueness of positive solution to singular fractional differential equations
... Motivated by the works mentioned above, in this paper we aim to establish the existence and uniqueness of a positive solution to the BVP (.). Our work presented in this paper has the following features. ...
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Existence and uniqueness of the solution to a coupled fractional diffusion system
... To our knowledge, there have not been many papers published concerning the existence and uniqueness of the solution to equations ()-(). The goal of this paper is to prove the existence result as regards ...
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Proving uniqueness for the solution of the problem of homogeneous and anisotropic micropolar thermoelasticity
... some uniqueness criteria for solutions of the Cauchy problem for the standard equations of dynamical linear thermoelasticity backward in ...one solution in appropriate classes of displacement-temperature ...
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Existence and Uniqueness of Solution for Linear Mixed Volterra-Fredholm Integral Equations in Banach Space
... and uniqueness of mixed linear Volterra-Fredholm integral equations of the second kind will be studied under some conditions in the Banach space and Fixed-point ...approximate solution is presented using ...
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A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
... In 1952 and 1978, Marchenko and Levitan used the transformation to show that the eigenvalues and norming constants uniquely determine potential function [10],[8]. On the other hand, a finite number of eigen- values in ...
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Boundary Asymptotic and Uniqueness of Solution for a Problem with Laplacian
... Research Article Boundary Asymptotic and Uniqueness of Solution for a Problem with px-Laplacian Ionel Rovenţa Department of Mathematics, University of Craiova, 200585 Craiova, Romania C[r] ...
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Uniqueness of weak solution for nonlinear elliptic equations in divergence form
... To conclude this section, we would like to point out that after this paper had been submitted for publication, it came to our attention that a similar (uniqueness) re- sult had been given in [4]. However, there is ...
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New method for the existence and uniqueness of solution of nonlinear parabolic equation
... 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 discussions in the ...
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Existence and uniqueness of solution for a class of nonlinear fractional differential equations
... and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and contraction mapping ...
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Existence and Uniqueness of Positive Solution for Singular BVPs on Time Scales
... 3 J. S. W. Wong, “On the generalized Emden-Fowler equation,” SIAM Review, vol. 17, pp. 339–360, 1975. 4 R. P. Agarwal, D. O’Regan, V. Lakshmikantham, and S. Leela, “An upper and lower solution theory for singular ...
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Transport equations with fractal noise – existence, uniqueness and regularity of the solution
... The aim of this paper is to give a meaning to the formal problem (1) and to investigate existence, uniqueness and regularity of corresponding solutions. We rewrite problem (1) in the abstract Cauchy setting, ...
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Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation
... 2013 Elliptic Partial Differential Equations Existence and Regularity of Distributional Solutions.. Linear and Semilinear Elliptic Equations.[r] ...
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Uniqueness of Periodic Solution for a Class of Liénard Laplacian Equations
... By topological degree theory and some analysis skills, we consider a class of generalized Li´enard type p-Laplacian equations. Upon some suitable assumptions, the existence and uniqueness of periodic solutions for ...
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Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations
... N’Gu´er´ekata, “A Cauchy problem for some fractional abstract di ff erential equation with non local conditions,” Nonlinear Analysis: Theory, Methods & Applications , vol. N’Gu´er´eka[r] ...
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