Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 25 for “"Fixed Point Theorem"”.
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Contraction maps and applications to the analysis of iterative algorithms
… interest too little is known from a theoretical point of view. The main reason for this is that the existing and well understood techniques used for the analysis of convex optimization problem are not applicable or meaningful in the non-convex case. The purpose of this thesis is to make a step in …
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STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE MEMORY
… equations with infinite memory using fixed point theorem technique. We also address the properties of the solution which are an upper bound for the pth moments of the solution and the Lp-regularity. Then, we provide an analysis to show the local asymptotic L2-stability of the trivial …
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Positive Symmetric Solutions Of A Boundary Value Problem With Dirichlet Boundary Conditions
… a recent extension of a compression-expansion fixed point theorem of function type to a second order boundary value problem with Dirichlet boundary conditions. We show the existence of positive symmetric solutions of this boundary value problem. </p>
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Applications Of Leggett Williams Type Fixed Point Theorems To A Second Order Difference Equation
<p>Using extensions of the Leggett-Williams fixed-point theorem, we prove the existence of solutions for a class of second-order difference equations with Dirichlet boundary conditions. We present these fixed point theorems and then show what conditions have to be met in order to satisfy the …
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The theory and some applications of Pták's method of non-discrete mathematical induction
… small function generalizations of Banach's Fixed Point Theorem and Edelstein's Extended Contraction Principle; (ii) by connecting the Induction Theorem to Baire's Category Theorem and Cantor's Intersection Theorem. Throughout the exposition the editorial "we" is to be understood in the sense …
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Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem.
… of smallest eigenvalues for certain two point boundary value problems for a fifth order linear differential equation are first obtained. The results are extended to (2n+1)-order and (3n+2)-order boundary value problems. Methods used for these results involve the theory of $u_0$-positive …
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O grau topológico de Brouwer e Aplicações.
… of the theory developed. among them, the Brouwer fixed point theorem.
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Equilibrium Measures for Symbolic Spaces Using Dimension Theory
… as a limit of a sequence of measures or via a fixed point theorem, equilibrium measures can be constructed using dimension theoretic techniques. This approach can be thought of as a generalization of Hausdorff measure, and we outline a number of criteria that guarantee that this construction …
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Global Existence of solutions to Reaction-Diffusion Systems with Mass Transport type Boundary Conditions
… as regularity of the solution, and the use of a fixed point theorem. Moreover, if vector fields satisfies certain conditions explained in dissertation, then there exists solution for all time, t>0. Classical potential theory and estimates for linear initial boundary value problems are used to …
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ANALYSIS OF TWO CLASSES OF CROSS DIFFUSION SYSTEMS
… is proposed and studied. With the aid of a fixed point theorem, existence of the fully discrete solutions is shown. By using entropy-type inequalities and compactness arguments, the convergence of the approximation of each system is proved and hence existence of a global weak solution is …
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A functional approach to positive solutions of boundary value problems.
We apply a well-known fixed point theorem to guarantee the existence of a positive solution and bounds for solutions for second, third, fourth, and nth order families of boundary value problems. We begin by characterizing second order problems having left and right focal boundary conditions. Via an …
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Simple certificate for power distribution network security assessment
… of power distribution systems based on Banach fixed point theorem and Kantorovich theorem. The novel method is in a simple "certificate" form-a single lined inequality condition that involves the system variables and parameters. Our certificate is noniterative, therefore computationally …
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A SYSTEM OF SUPERLINEAR ELLIPTIC EQUATIONS IN A CYLINDER
… by Brezis and Turner and, together with a fixed point theorem, we will derive the existence result of a superlinear elliptic system which defined on a cylinder. First we present some of the history of this problem, along with the necessary mathematical background. We present the main …
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Stochastic singular control: existence, characterization and approximation of solutions in cost minimization problems and games
… the existence of Nash equilibria via Tarski's fixed point theorem, and we propose an algorithm to determine a Nash equilibrium. Moreover, we derive relations between weak (distributional) Nash equilibria of the game of singular control and the Nash equilibria of stochastic games with regular …
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Volterra difference equations
… sum-difference equations using the Schaefer fixed point theorem and the Lyapunov direct method. The fifth paper examines the asymptotic behavior of nonoscillatory solutions of higher-order integro-dynamic equations and establishes some new criteria based on so-called time scales, which …
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Sequences of compact curvature
… and prove a generalisation of the Lefschetz fixed point theorem of Atiyah and Bott.
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Periodic q-difference equations
… by applying the well-known Mountain Pass theorem. Fifth, the existence of positive periodic solutions of higher-order functional q-difference equations is studied by applying the well-known fixed-point theorem in a cone. Besides these five research papers that are based on the newly …
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Aplicaciones de los espacios hilbert-banach
… describe some of the applications of Banach's fixed point theorem; to linear equations, differential equations. In addition to the approximation in normed spaces and we will consider the problem of the uniqueness of the best approximations
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