Almost Periodicity And Almost Automorphy

For Evolution Equations And Partial Functional Differential Equations

de Gaston Mandata Nguerekata, Khalil Ezzinbi, Brahim Es-Sebbar e Abdallah Afoukal 

Bertrand.pt - Almost Periodicity And Almost Automorphy
eBook
idioma: Inglês
Editor: De Gruyter
Edição: março de 2025

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When we study differential equations in Banach spaces whose coefficients are linear unbounded operators, we feel that we are working in ordinary differential equations; however, the fact that the operator coefficients are unbounded makes things quite different from what is known in the classical case. Examples or applications for such equations are naturally found in the theory of partial differential equations. More specifically, if we give importance to the time variable at the expense of the spatial variables, we obtain an ordinary differential equation with respect to the variable which was put in evidence. Thus, for example, the heat or the wave equation gives rise to ordinary differential equations of this kind. Adding boundary conditions can often be translated in terms of considering solutions in some convenient functional Banach space. The theory of semigroups of operators provides an elegant approach to study this kind of systems. Therefore, we can frequently guess or even prove theorems on differential equations in Banach spaces looking at a corresponding pattern in finite dimensional ordinary differential equations.

Almost Periodicity And Almost Automorphy
For Evolution Equations And Partial Functional Differential Equations
de Gaston Mandata Nguerekata, Khalil Ezzinbi, Brahim Es-Sebbar e Abdallah Afoukal 
ISBN:
9783111685144
Ano de edição:
03-2025
Editor:
De Gruyter
Idioma:
Inglês
Páginas:
466
Tipo de Produto:
eBook
Formato:
ePUB i
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