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The existence of a solution for x ≥ gt

3 Existence of the Solution

3 Existence of the Solution

... www.ulsu.ru Abstract. The dynamic optimal control problem of advertising costs in case of a company’s limited advertising budget is analyzed. Initial optimization problem is formulated as a system of nonlinear integral ...

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Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution for the Matrix Equation X+A* X-2 A+B* X-2B=I

Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution for the Matrix Equation X+A* X-2 A+B* X-2B=I

... X  A * X  2 A  B * X  2 B  I (1.1) where I is an n  n identity matrix, A and B are n  n nonsingular complex matrices , ( A * , B * stand for the conjugate transpose of A , B respectively). ...

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EXISTENCE AND UNIQUENESS OF THE SOLUTION OF THE COUPLED

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 proved ...

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ON THE EXISTENCE OF SOLUTION FOR AN INVERSE PROBLEM

ON THE EXISTENCE OF SOLUTION FOR AN INVERSE PROBLEM

... Abstract. We consider a boundary detection problem. We present physical motiva- tions. We formulate the problem as a shape optimization problem by introducing the Neumann condition of the accessible part in a cost ...

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The Existence of Solution of a Critical Fractional Equation

The Existence of Solution of a Critical Fractional Equation

... Hui Chen College of Science, University of Shanghai for Science and Technology, Shanghai, China Abstract In this paper, we study the existence of solution of a critical fractional equa- tion; we will use a ...

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EXISTENCE OF A SOLUTION FOR THE FRACTIONAL FORCED PENDULUM

EXISTENCE OF A SOLUTION FOR THE FRACTIONAL FORCED PENDULUM

... the solution of fractional equations of variational type the composition rules of fractional calcu- lus together with fixed point theorems were ...this solution is represented by series of alternately left ...

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Existence of Solution and Positive Solution for a Nonlinear Third-Order -Point BVP

Existence of Solution and Positive Solution for a Nonlinear Third-Order -Point BVP

... Recently, third-order two-point or three-point boundary value problems BVPs have received much attention from many authors; see 2–10 and the references therein. In particular, Yao 10 employed the Leray-Schauder fixed ...

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Global Existence of Solution for Reaction Diffusion Systems

Global Existence of Solution for Reaction Diffusion Systems

... Global Existence of Solution for Reaction Diffusion Systems Abdelkader Moumeni ∗ and Lylia Salah Derradji † Abstract—The aim of this paper is to study the global existence in time of solutions for ...

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Existence of a positive solution for a-Laplacian semipositone problem

Existence of a positive solution for a-Laplacian semipositone problem

... positive solution is very chal- lenging in the semipostone ...positive solution is obtained for large λ when f is p-sublinear at ...the existence of a positive solution in a range of λ without ...

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On the existence of the solution of Burgers' equation for n≤4

On the existence of the solution of Burgers' equation for n≤4

... Observe that the above problem is almost identical in its formulation to the Navier-Stokes equations, but that the latter problem is posed on a different function space (the space of div[r] ...

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Existence of Solution to Fractional Order Integral Equations.

Existence of Solution to Fractional Order Integral Equations.

... algebras, Existence result, Nonlinear equations, Quadratic integral ...of existence results for equations of fractional ...the existence results of the following nonlinear quadratic volterra integral ...

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One Approach to the Problem of the Existence of a Solution in Neural Networks

One Approach to the Problem of the Existence of a Solution in Neural Networks

... the existence of a perceptron ...the existence of a solution for a neural network is ...a solution of neural networks, the ability to recognize images with a probability other than zero is ...

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On the Existence of Solution to Multidimensional Third Order Nonlinear Equations

On the Existence of Solution to Multidimensional Third Order Nonlinear Equations

... Abstract. In this paper, we prove existence of an almost everywhere solution to mixed problem for a class of third order differential equations by non-zero rotation principle. Also studied the correctness ...

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Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

Existence of Periodic Solution for a Nonlinear Fractional Differential Equation

... Correspondence should be addressed to Rosana Rodr´ ıguez-L ´opez, [email protected] Received 2 February 2009; Revised 10 April 2009; Accepted 4 June 2009 Recommended by Donal O’Regan We study the ...

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Existence and Uniqueness of Solution to Semilinear Fractional Elliptic Equation

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

Existence and Uniqueness of Mild Solution for Fractional Integrodifferential Equations

... the existence and uniqueness of mild solution of ...space X: −A generates a compact semigroup S· of uniformly bounded linear operators on a Banach space ...× X into X. New ...

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Existence of nontrivial solution for a nonlocal problem with subcritical nonlinearity

Existence of nontrivial solution for a nonlocal problem with subcritical nonlinearity

... g(x, u)v dx. Let λ i (i = 1, 2, . . . ) be the eigenvalues of operator – with zero Dirichlet boundary condi- tion. It is well known that each eigenvalue λ i is positive, isolated and has finite multiplicity, the ...

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Existence and persistence of positive solution for a stochastic turbidostat model

Existence and persistence of positive solution for a stochastic turbidostat model

... Keywords: turbidostat model; white noise; persistence in mean; stochastic persistence; extinction 1 Introduction The continuous culture of microorganism, such as the chemostat and the turbidostat, is a significant way in ...

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Existence and uniqueness of the solution of fractional damped dynamical systems

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 the ...

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Existence and uniqueness of the solution to a coupled fractional diffusion system

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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