A Uniqueness Theorem For The Solution Of Family Of Hyperbolic Integro Differential Equations

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A Uniqueness Theorem For The Solution Of Family Of Hyperbolic Integro Differential Equations

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Author : Andrzej Julian Pliś
language : en
Publisher:
Release Date : 1954

A Uniqueness Theorem For The Solution Of Family Of Hyperbolic Integro Differential Equations written by Andrzej Julian Pliś and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with categories.

On Uniqueness Theorems For Hyperbolic Differential Equations

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Author : John P. Shanahan
language : en
Publisher:
Release Date : 1959

On Uniqueness Theorems For Hyperbolic Differential Equations written by John P. Shanahan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Differential equations categories.

Kernel Determination Problems In Hyperbolic Integro Differential Equations

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Author : Durdimurod K. Durdiev
language : en
Publisher: Springer Nature
Release Date : 2023-06-18

Kernel Determination Problems In Hyperbolic Integro Differential Equations written by Durdimurod K. Durdiev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-18 with Mathematics categories.

This book studies the construction methods for solving one-dimensional and multidimensional inverse dynamical problems for hyperbolic equations with memory. The theorems of uniqueness, stability and existence of solutions of these inverse problems are obtained. This book discusses the processes, by using generalized solutions, the spread of elastic or electromagnetic waves arising from sources of the type of pulsed directional “impacts” or “explosions”. This book presents new results in the study of local and global solvability of kernel determination problems for a half-space. It describes the problems of reconstructing the coefficients of differential equations and the convolution kernel of hyperbolic integro-differential equations by the method of Dirichlet-to-Neumann. The book will be useful for researchers and students specializing in the field of inverse problems of mathematical physics.

Integral Geometry And Inverse Problems For Hyperbolic Equations

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Author : V. G. Romanov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-09

Integral Geometry And Inverse Problems For Hyperbolic Equations written by V. G. Romanov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.

There are currently many practical situations in which one wishes to determine the coefficients in an ordinary or partial differential equation from known functionals of its solution. These are often called "inverse problems of mathematical physics" and may be contrasted with problems in which an equation is given and one looks for its solution under initial and boundary conditions. Although inverse problems are often ill-posed in the classical sense, their practical importance is such that they may be considered among the pressing problems of current mathematical re search. A. N. Tihonov showed [82], [83] that there is a broad class of inverse problems for which a particular non-classical definition of well-posed ness is appropriate. This new definition requires that a solution be unique in a class of solutions belonging to a given subset M of a function space. The existence of a solution in this set is assumed a priori for some set of data. The classical requirement of continuous dependence of the solution on the data is retained but it is interpreted differently. It is required that solutions depend continuously only on that data which does not take the solutions out of M.

On Existence Uniqueness And Numerical Evaluation Of Solutions Of Ordinary And Hyperbolic Differential Equations

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Author : Joaquin B. Diaz
language : en
Publisher:
Release Date : 1960

On Existence Uniqueness And Numerical Evaluation Of Solutions Of Ordinary And Hyperbolic Differential Equations written by Joaquin B. Diaz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Differential equations categories.

An Existence And Uniqueness Theorem For Integro Partial Differential Equations

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Author : Dale Edouard Walston
language : en
Publisher:
Release Date : 1961

An Existence And Uniqueness Theorem For Integro Partial Differential Equations written by Dale Edouard Walston and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Integral equations categories.

On Uniqueness Theorems For Ordinary Differential Equations And For Partial Differential Equations Of Hyperbolic Type

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Author : Joaquin B. Diaz
language : en
Publisher:
Release Date : 1959

On Uniqueness Theorems For Ordinary Differential Equations And For Partial Differential Equations Of Hyperbolic Type written by Joaquin B. Diaz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Differential equations categories.

Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations

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Author : R P Agarwal
language : en
Publisher: World Scientific Publishing Company
Release Date : 1993-03-31

Uniqueness And Nonuniqueness Criteria For Ordinary Differential Equations written by R P Agarwal and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-31 with Science categories.

This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions. Contents:First Order Differential EquationsFirst Order Differential SystemsHigher Order Differential EquationsDifferential Equations in Abstract SpacesComplex Differential EquationsFunctional Differential EquationsImpulsive Differential EquationsDifferential Equations with HysteresisGeneralized Differential Equations Readership: Applied mathematicians, mathematicians and mathematical physicists.

Proof Of An Existence And Uniqueness Theorem Of Picard For A Non Linear Hyperbolic Partial Differential Equation By Means Of An Analogue Of Cauchy S Polygon Method

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Author : Robert H. Moore
language : en
Publisher:
Release Date : 1956

Proof Of An Existence And Uniqueness Theorem Of Picard For A Non Linear Hyperbolic Partial Differential Equation By Means Of An Analogue Of Cauchy S Polygon Method written by Robert H. Moore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Cauchy problem categories.

Following the general method used in proving the existence and uniqueness of the solution of the Cauchy problem for the first order ordinary differential equation by means of Cauchy polygons of approximation, the present paper proves the existence and uniqueness of the solution of an analogous boundary value problem for a second order hyperbolic partial differential equation by means of approximate solutions which are essentially surfaces of approximation. As in the method for the ordinary equation, a set of convergence inequalities is first obtained, and then it is shown, by means of these inequalities, that the sequence of approximate solutions defined converges uniformly to a unique solution of the hyperbolic equation.

Uniqueness Theorems For The Differential Equation

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Author : Wolfgang Walter
language : en
Publisher:
Release Date : 1958

Uniqueness Theorems For The Differential Equation written by Wolfgang Walter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Differential equations categories.