Integral Manifolds for Impulsive Differential Problems with Applications

個数：

Integral Manifolds for Impulsive Differential Problems with Applications

Stamova, Ivanka/ Stamov, Gani

ウェブストア価格 ¥40,296（本体¥36,633）
Academic Press Inc（2025/05発売）
外貨定価 US$ 180.00
ポイント 366pt

提携先の海外書籍取次会社に在庫がございます。通常3週間で発送いたします。
【重要ご説明事項】
1. 納期遅延や、ご入手不能となる場合が若干ございます。
2. 複数冊ご注文の場合は、ご注文数量が揃ってからまとめて発送いたします。
3. 美品のご指定は承りかねます。

●3Dセキュア導入とクレジットカードによるお支払いについて

【入荷遅延について】
世界情勢の影響により、海外からお取り寄せとなる洋書・洋古書の入荷が、表示している標準的な納期よりも遅延する場合がございます。
おそれいりますが、あらかじめご了承くださいますようお願い申し上げます。

◆画像の表紙や帯等は実物とは異なる場合があります。

◆ウェブストアでの洋書販売価格は、弊社店舗等での販売価格とは異なります。
また、洋書販売価格は、ご注文確定時点での日本円価格となります。
ご注文確定後に、同じ洋書の販売価格が変動しても、それは反映されません。

製本 Paperback:紙装版/ペーパーバック版／ページ数 348 p.
言語 ENG
商品コード 9780443301346
DDC分類 515.3

Full Description

Integral Manifolds for Impulsive Differential Problems with Applications offers readers a comprehensive resource on integral manifolds for different classes of differential equations which will be of prime importance to researchers in applied mathematics, engineering, and physics. The book offers a highly application-oriented approach, reviewing the qualitative properties of integral manifolds which have significant practical applications in emerging areas such as optimal control, biology, mechanics, medicine, biotechnologies, electronics, and economics. For applied scientists, this will be an important introduction to the qualitative theory of impulsive and fractional equations which will be key in their initial steps towards adopting results and methods in their research.

1. Basic theory
1.1 Introduction
1.2 Impulsive differential equations
1.2.1 Impulsive ordinary differential equations with variable impulsive perturbations
1.2.2 Impulsive ordinary differential equations with fixed moments of impulsive perturbations
1.3 Impulsive functional differential equations
1.4 Impulsive fractional differential equations
1.5 Impulsive conformable differential equations
1.6 Integral manifolds
1.7 Lyapunov method and impulsive differential equations
1.7.1 Piecewise continuous Lyapunov functions
1.7.2 Lyapunov-Razumikhin method
1.7.3 Fractional Lyapunov function method
1.7.4 Conformable Lyapunov function method
1.8 Comparison results
1.9 Notes and comments

2. Impulsive differential equations and existence of integral manifolds
2.1 Integral manifolds for impulsive differential equations
2.1.1 Integral manifolds for impulsive functional differential equations
2.1.2 Integral manifolds for impulsive uncertain functional differential equations
2.1.3 Integral manifolds for impulsive fractional functional differential equations
2.2 Impulsive differential equations and (ρ, η)-integral manifolds
2.2.1 Integral manifolds of (ρ, η)-type and perturbations of the linear part of impulsive differential equations
2.2.2 (ρ, η)-integral manifolds for singularly perturbed impulsive differential equations
2.3 Affinity integral manifolds for linear singularly perturbed systems of impulsive differential equations
2.4 Integral manifolds of impulsive differential equations defined on a torus
2.5 Notes and comments

3. Impulsive differential equations and stability of integral manifolds
3.1 Lyapunov method and stability of integral manifolds
3.2 Stability of moving integral manifolds
3.2.1 Stability of moving integral manifolds for impulsive ordinary differential equations
3.2.2 Stability of conditionally moving integral manifolds for impulsive ordinary differential equations
3.2.3 Stability of moving integral manifolds for impulsive functional differential equations
3.3 Stability with respect to h-manifolds
3.3.1 Practical stability with respect to h-manifolds for impulsive functional differential equations with variable impulsive perturbations
3.3.2 Stability with respect to h-manifolds for impulsive functional differential systems of fractional order
3.3.3 Practical stability with respect to h-manifolds for impulsive conformable differential equations
3.4 Reduction principle and stability of integral manifolds
3.4.1 Integral manifolds and the reduction principle for impulsive differential equations
3.4.2 Integral manifolds and the reduction principle for singularly perturbed impulsive differential equations
3.5 Notes and comments

4. Applications: integral manifolds and impulsive differential models
4.1 Impulsive neural networks and integral manifolds
4.1.1 Integral manifolds for impulsive cellular neural networks
4.1.2 Stability with respect to h-manifolds of impulsive Cohen-Grossberg neural networks
4.1.3 Integral manifolds for impulsive reaction-diffusion neural networks
4.2 Integral manifolds for impulsive models in biology and medicine
4.2.1 Stable manifolds for impulsive Lotka-Volterra models
4.2.2 Integral manifolds for impulsive Lasota-Wazewska models
4.2.3 Integral manifolds for impulsive epidemic and virus dynamic models
4.2.4 Integral manifolds for impulsive Kolmogorov models
4.3 Integral manifolds for impulsive models in finance
4.4 Notes and comments
References
Index