DIFFERENCE EQUATIONS IN NORMED SPACES - STABILITY AND OSCILATIONS

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Sinopse

Many problems for partial difference and integro-difference equations can be written as difference equations in a normed space. This book is devoted to linear and nonlinear difference equations in a normed space. Our aim in this monograph is to initiate systematic investigations of the global behavior of solutions of difference equations in a normed space. Our primary concern is to study the asymptotic stability of the equilibrium solution. We are also interested in the existence of periodic and positive solutions. There are many books dealing with the theory of ordinary difference equations. However there are no books dealing systematically with difference equations in a normed space. It is our hope that this book will stimulate interest among mathematicians to develop the stability theory of abstract difference equations. Note that even for ordinary difference equations, the problem of stability analysis continues to attract the attention of many specialists despite its long history. It is still one of the most burning problems, because of the absence of its complete solution, but many general results available for ordinary difference equations (for example, stability by linear approximation) may be easily proved for abstract difference equations.

Ficha técnica

Código de barras:
9780444527134
Dimensões:
1.50cm x 16.00cm x 23.00cm
Edição:
1ª EDICAO - 2007
Editora:
NORTH-HOLLAND
ISBN:
0444527133
ISBN13:
9780444527134
Número de páginas:
378
Peso:
422 gramas
Ano de publicação:
2007
Capa dura:
Sim