6 edition of **Stability theory and the existence of periodic solutions and almost periodic solutions** found in the catalog.

- 181 Want to read
- 20 Currently reading

Published
**1975**
by Springer-Verlag in New York
.

Written in English

**Edition Notes**

Statement | T. Yoshizawa. |

Series | Applied mathematical sciences -- vol. 14 |

The Physical Object | |
---|---|

Pagination | vii, 233 p. ; |

Number of Pages | 233 |

ID Numbers | |

Open Library | OL21345635M |

ISBN 10 | 0387901124 |

With the aid of ergodic theory and differential inequality technique, we prove the existence and global exponential stability of positive pseudo almost periodic solutions for the addressed system, which generalize and improve some known by: 3. This paper investigates a periodic Nicholson’s blowflies equation with multiple time-varying delays. By using differential inequality techniques and the fluctuation lemma, we establish a criterion to ensure the global exponential stability on the positive solutions of the addressed equation, which improves and complements some existing ones. The effectiveness of the obtained result is.

Nonlinear Dispersive Equations: Existence and Stability of Solitary and Periodic Travelling Wave Solutions About this Title. Jaime Angulo Pava, IME-USP, São Paulo, Brazil. Publication: Mathematical Surveys and Monographs Publication Year Volume ISBNs: (print); (online)Cited by: By using differential inclusions theory, the non-smooth analysis theory with Lyapunov-like approach, some new sufficient criteria are given to ascertain the existence, uniqueness and globally exponential stability of the bounded positive almost periodic solutions for the addressed model. Some previously known results are extended and by: 2.

T. Yoshizawa, Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Applied Mathematical Scien Springer-Verlag, C. Zhang, Almost Periodic Type Functions and Ergodicity, Science Press/Kluwer Academic Publishers, This book's discussion of a broad class of differential equations will appeal to professionals as well as graduate students. Beginning with the structure of the solution space and the stability and periodic properties of linear ordinary and Volterra differential equations, the text proceeds to an extensive collection of applied :

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These notes contain stability theory by Liapunov's second method and somewhat extended discussion of stability properties in almost periodic systems, and the existence of a periodic solution in a periodic system is discussed in connection with the boundedness of solutions, and the existence of an almost periodic solution in an almost periodic system is considered in con nection with some stability property of a bounded solution.

Yoshizawa T. () Existence Theorems for Periodic Solutions and Almost Periodic Solutions. In: Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions. Applied Mathematical Sciences, vol Cited by: 8. Moreover, the theoretical findings of this paper on the almost periodic solution are applied to prove the existence and stability of periodic solution for memristor-based shunting inhibitory.

Existence and Stability of Almost Periodic Solutions for Quasilinear Delay Systems and the Halanay Inequality. Existence and stability of almost periodic solutions to impulsive stochastic diﬀerential equations Junwei Liu and Chuanyi Zhang Harbin Institute of Technology, Department of Mathematics, Harbin Institute of Technology, HarbinP.R.

China. [email protected] ABSTRACTCited by: Hale [2] and the author [3] have discussed the existence of a periodic solution of functional-differential equations (more generally, the existence of an almost periodic solution) under the assumption that the system has a bounded solution which is uniformly asymptotically stable in the large by applying Liapunov's second by: 7.

These notes contain stability theory by Liapunov's second method and somewhat extended discussion of stability properties in almost periodic systems, and the existence of a periodic solution in a periodic system is discussed in connection with the boundedness of solutions, and the existence of an almost periodic solution in an almost periodic system is considered in con nection with some stability property of a bounded : Copertina flessibile.

ejde/58 existence and stability of almost periodic solutions 7 F rom Lemma (d), it is not hard to see that (X (t n +1, t n)) + ∞ n = −∞ is almost pe. ABSTRACT. This paper introduces the concept of square-mean piecewise almost periodic for impulsive stochastic processes.

The existence of square-mean piecewise almost periodic solutions for linear and nonlinear impulsive stochastic differential equations is established by using the theory of the semigroups of the operators and Schauder fixed point by: These notes contain stability theory by Liapunov\'s second method and somewhat extended discussion of stability properties in almost periodic systems, and the existence of a periodic solution in a periodic system is discussed in connection with the boundedness of solutions, and the existence of an almost periodic solution in an almost periodic system is considered in con nection with some stability property of a bounded solution.

In the theory of almost periodic systems. mathematics Article The Existence and Global Exponential Stability of Almost Periodic Solutions for Neutral-Type CNNs on Time Scales Bing Li 1, Yongkun Li 2,* and Xiaofang Meng 2Author: Bing Li, Yongkun Li, Xiaofang Meng.

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Section 3, we study the existence of almost periodic solutions of system () by using a ﬁxed point theorem. In Section 4, we shall derive sufﬁcient conditions to ensure that the almost periodic solution of () is globally exponentially stable.

In Section 5, two examples are given to illustrate that our results are feasible and more general. Fink AM, Seifert G. Liapunov functions and almost periodic solutions for almost periodic systems. J Differ Equ. ; – doi: /(69)X. Gao J, Wang QR, Zhang LW. Existence and stability of almost-periodic solutions for cellular neural networks with time-varying delays in leakage terms on time by: 4.

Yoshizawa, Asymptotically almost periodic solutions of an almost periodic system, Funkcial. Ekvac., 12 (), Google Scholar [37] T. Yoshizawa, Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Applied Mathematical Sciences, Vol.

Cited by: 1. Buy Almost Periodic Solutions of Differential Equations in Banach Spaces (Stability and Control: Theory, Methods and Applications) on FREE SHIPPING on qualified orders Almost Periodic Solutions of Differential Equations in Banach Spaces (Stability and Control: Theory, Methods and Applications): Hino, Yoshiyuki, Naito, Toshiki Cited by: III.

Existence Theorems for Periodic Solutions and Almost Periodic Solutions.- Existence Theorems for Periodic Solutions.- Existence Theorems for Almost Periodic Solutions.- Separation Condition in Almost Periodic Systems.- Uniform Stability and Existence of Almost Periodic Solutions.- Dedicated to a systematic development of almost periodic theory for impulsive differential equations ; Fills a void by presenting existing literature on the relations between the almost periodicity and stability of the solutions.

() Existence and stability of almost periodic solutions in impulsive neural network models. Applied Mathematics and Computation() On the solutions of a second order nonlinear system with almost periodic by: Sufficient conditions are obtained for the existence of a globally asymptotically stable strictly positive (componentwise) almost-periodic solution of a Lotka-Volterra system with almost periodic by:.

H. Ni, “The existence and stability of two periodic solutions on a class of Riccati’s equation,” Mathematical Problems in Engineering, vol.Article ID18 pages, View at: Publisher Site | Google Scholar; C.

Y. He, Almost Periodic Functions and Differential Equations, Higher Education Press, Beijing, China, Author: Ni Hua, Tian Li-Xin.By using the fixed point theorem in differential inclusion theory and constructing suitable Lyapunov functions, a condition is derived which ensures the existence and global exponential stability of a unique periodic solution for the neural network.

Furthermore, under certain conditions global convergence in finite time of the state is Cited by: In this paper, we prove that there exist almost-periodic solutions for the Schrödinger equation with quasi-periodic forcing under periodic boundary conditions. This extends the Author: Shujuan Liu.