The Cauchy Problem for Higher Order Abstract Differential Equations
Xiao, Ti-Jun.
The Cauchy Problem for Higher Order Abstract Differential Equations [electronic resource] / by Ti-Jun Xiao, Jin Liang. - XIV, 300 p. online resource. - Lecture Notes in Mathematics, 1701 0075-8434 ; . - Lecture Notes in Mathematics, 1701 .
Laplace transforms and operator families in locally convex spaces -- Wellposedness and solvability -- Generalized wellposedness -- Analyticity and parabolicity -- Exponential growth bound and exponential stability -- Differentiability and norm continuity -- Almost periodicity -- Appendices: A1 Fractional powers of non-negative operators -- A2 Strongly continuous semigroups and cosine functions -- Bibliography -- Index -- Symbols.
The main purpose of this book is to present the basic theory and some recent de velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0,
9783540494799
10.1007/978-3-540-49479-9 doi
Differential Equations.
Ordinary Differential Equations.
QA372
515.352
The Cauchy Problem for Higher Order Abstract Differential Equations [electronic resource] / by Ti-Jun Xiao, Jin Liang. - XIV, 300 p. online resource. - Lecture Notes in Mathematics, 1701 0075-8434 ; . - Lecture Notes in Mathematics, 1701 .
Laplace transforms and operator families in locally convex spaces -- Wellposedness and solvability -- Generalized wellposedness -- Analyticity and parabolicity -- Exponential growth bound and exponential stability -- Differentiability and norm continuity -- Almost periodicity -- Appendices: A1 Fractional powers of non-negative operators -- A2 Strongly continuous semigroups and cosine functions -- Bibliography -- Index -- Symbols.
The main purpose of this book is to present the basic theory and some recent de velopments concerning the Cauchy problem for higher order abstract differential equations u(n)(t) + ~ AiU(i)(t) = 0, t ~ 0,
9783540494799
10.1007/978-3-540-49479-9 doi
Differential Equations.
Ordinary Differential Equations.
QA372
515.352