Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Almost Periodicity and Almost Automorphy: For Evolution Equations and Partial Functional Differential Equations

Almost Periodicity and Almost Automorphy: For Evolution Equations and Partial Functional Differential Equations

Ezzinbi, Khalil
Afoukal, Abdallah
Es-Sebbar, Brahim

Paperback

Series: de Gruyter Stem

General Mathematics

Publisher Price: $109.99

ISBN10: 3111683613
ISBN13: 9783111683614
Publisher: de Gruyter
Published: Mar 3 2025
Pages: 466
Weight: 1.62
Height: 0.94 Width: 6.69 Depth: 9.61
Language: English

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.

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