Nonlinear ergodic theorems and controllability of nonlinear differential equations

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Title: Nonlinear ergodic theorems and controllability of nonlinear differential equations

博士論文

論文目録 / (0002.jp2)
Contents / (0004.jp2)
Introduction / p1 (0006.jp2)
1 Asymptotic Behavior of Almost-Orbits of Commutative Semigroup in a Banach Space / p14 (0019.jp2)
1.1 Introduction. / p15 (0020.jp2)
1.2 Preliminaries. / p16 (0021.jp2)
1.3 Lemmas. / p19 (0024.jp2)
1.4 Asymptotic Behavior. / p27 (0032.jp2)
2 Asymptotically Periodic Solutions of Nonlinear Evolution Equations in a Banach Space / p34 (0039.jp2)
2.1 Introduction. / p35 (0040.jp2)
2.2 Lemmas. / p36 (0041.jp2)
2.3 Theorems. / p43 (0048.jp2)
2.4 Remarks. / p46 (0051.jp2)
3 Exponentially Bounded C-Semigroups in a Fréchet Space / p48 (0053.jp2)
3.1 Introduction. / p49 (0054.jp2)
3.2 C-complete Infinitesimal Generator and Representation of Exponentially Bounded C-semigroup. / p50 (0055.jp2)
3.3 Generation of Exponentially Bounded C-semigroup. / p59 (0064.jp2)
3.4 The Abstract Cauchy Problem. / p67 (0072.jp2)
4 Approximate Controllability for Trajectories of a Delay Volterra Control System / p73 (0078.jp2)
4.1 Introduction. / p74 (0079.jp2)
4.2 Preliminaries. / p75 (0080.jp2)
4.3 Approximate Controllability. / p78 (0083.jp2)
5 Controllability for a Parabolic Equation with Uniformly Bounded Nonlinear Terms / p87 (0092.jp2)
5.1 Introduction. / p88 (0093.jp2)
5.2 Main Results. / p89 (0094.jp2)
5.3 Proofs of Theorem 5.1, Theorem 5.2, and Corollary 5.1. / p96 (0101.jp2)
5.4 Example. / p107 (0112.jp2)
5.5 Appendix A : Proof of Lemma 5.2. / p110 (0115.jp2)
References / p114 (0119.jp2)