Continuous Dependence
Continuous Dependence for the Pseudoparabolic Equation
... We determine the continuous dependence of solution on the parameters in a Dirichlet-type initial- boundary value problem for the pseudoparabolic partial di ff erential equation.. 1..[r] ...
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Continuous dependence of solutions in magneto elasticity theory
... We prove continuous dependence on the intensity coefficient and continuous de- pendence on the external data in the theory of magneto-elasticity. We do not re- quire the Lamé coefficients to be positive. ...
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Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition
... In this study we prove the continuous dependence of the solution u = u(x, t) upon the data ϕ(x) and f (x, t, u). In [], a similar iteration method is used with this kind of a local boundary condition for a ...
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Existence and continuous dependence of mild solutions for fractional neutral abstract evolution equations
... In this paper, we used the theory of resolvent operators coupled with fixed point theo- rem, to obtain some new results about the global uniqueness and existence of the problem (.)-(.) in Section . Moreover, in ...
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Continuous dependence of solutions of abstract generalized linear differential equations with potential converging uniformly with a weight
... Primarily we are concerned with the continuous dependence of solutions of general- ized linear differential equations on a parameter. In particular, we assume that the given equation (.) has a unique ...
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Continuous dependence of boundary values for semiinfinite interval ordinary differential equations
... CONTINUOUS DEPENDENCE OF BOUNDARY VALUES FOR SEMIINFINITE INTERVAL ORDINARY DIFFERENTIAL EQUATIONS DAVID H.. Division of Mathematics,.[r] ...
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Continuous dependence of the value function on a class of one dimensional autonomous optimal control
... The value function may be characterized as the unique (generalized) solution of the Hamilton- Jacobi (HJ) equation. This important result in nonlinear deterministic control can take a number of guises depending on the ...
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Existence and continuous dependence for weighted fractional differential equations with infinite delay
... In this section we collect some definitions and results needed in our further investigations. Let us denote by C((a, b]) the space of all continuous real functions defined on (a, b] and by L loc (a, b) the space ...
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Continuous dependence and differentiation of solutions of finite difference equations
... In the case of initiM value problems for ordinary differential equations, Hzrtm [22] presents & theorem due to Pc&no in which solutions are differentiated with respect to initial conditi[r] ...
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On the Continuous Dependence of a Functional Integral Equation with Parameter
... Theorem 3 Let the assumption of Theorem 2 be satisfied, then the solution of the functional integral equation (1) depends continuously on the parameter 𝜇... CONTINUOUS SOLUTIONS.[r] ...
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Method of semidiscretization in time for quasilinearintegrodifferential equations
... We use the ideas and techniques of Zeidler [10] and the method of semidiscretization in time to establish existence, uniqueness, and continuous dependence on initial data of strong solutions to (1.1) on [ 0 ...
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Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
... Cannon et al. 5 have developed and analyzed finite-difference and finite-element Galerkin’s methods for the solution of one-dimensional heat equation with the Neumann and integral conditions. Cannon and van der Hoek 4 ...
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Maximum principle and its application to multi-index Hadamard fractional diffusion equation
... The structure of the article is as follows: In Sect. 2 we give basic concepts and the defini- tions of Hadamard fractional calculus, and also give some lemmas, which will be needed in our subsequent proof. Further, the ...
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Initial boundary value problem with a nonlocal condition for a viscosity equation
... In this paper, the existence, uniqueness, and continuous dependence of a strong solution upon the data of problem (1.1), (1.2), (1.3), and (1.4) are demonstrated. We use a functional analysis method based ...
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Nonsimple material problems addressed by the Lagrange’s identity
... In other papers, authors recourse the energy conservation law in order to derive the uniqueness or continuous dependence of solutions. For instance, a uniqueness result was indicated in paper [] of Green ...
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On mild solutions of nonlocal semilinear functional integro-differential equations
... and continuous dependence on initial data of mild solutions of first order nonlocal semilinear functional integro-differential equations of more general type with delay in Banach ...
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Parameter estimation in groundwater flow models with distributed and pointwise observations
... Our goal in this paper is to demonstrate continuous dependence and conver- gence of approximation results relevant to the identication of k and g from data. In the next section we analyze solutions of (1) ...
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Nonlinear methods for inverse problems
... INVERSE BOUNDARY SCATIERING 4.1 INTRODUCfiON 4.2 THE INVERSE PROBLEM 4.2.1 Uniqueness 4.2.2 Continuous Dependence 4.2.3 Construction of Solutions 4.2.4 Vector Problems 4.3 IMPUCIT FUNCTI[r] ...
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Uniformly Stable Positive Monotonic Solution of a Nonlocal Cauchy Problem
... Keywords: Nonlocal Cauchy Problem; Local and Global Existence Nondecreasing Positive Solution; Continuous Dependence; Lyapunov Uniformly Stability.. Integral Equation Representation.[r] ...
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On the solvability of parabolic and hyperbolic problems with a boundary integral condition
... We prove the existence, uniqueness, and the continuous dependence of a generalized so- lution upon the data of certain parabolic and hyperbolic equations with a boundary inte- gral condition. The proof uses ...
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