Integral Manifolds for Impulsive Differential Problems with Applications

Integral Manifolds for Impulsive Differential Problems with Applications by Ivanka Stamova and Gani Stamov unveils a rigorous, accessible treatment of integral manifolds in the context of impulsive differential equations — a fast-growing area in applied mathematics and dynamical systems. This authoritative volume immediately draws in researchers and advanced students seeking modern tools for modeling sudden changes in physical, biological, and engineering systems.

Clear, well-motivated exposition guides the reader from foundational concepts to advanced existence and stability results for integral manifolds under impulses. The authors blend functional-analytic methods with geometric insight to tackle nonlinearity, delay effects, and discontinuities, making the book invaluable for those working on stability analysis, bifurcation, control theory, and mathematical biology. Numerous examples and carefully chosen problem frameworks demonstrate how theory translates to concrete applications such as population models with harvesting, switching circuits, and mechanical systems subject to shocks.

Designed for an international audience — from universities in Europe, North America, and Asia to applied research institutes — this volume serves both as a graduate-level textbook and a reference for specialists. Its compact, precise style helps readers quickly apply results to their own problems while deepening theoretical understanding.

Whether you are a PhD student, applied mathematician, or engineer facing impulsive phenomena, this book equips you with powerful techniques and a clear roadmap to solving complex differential problems. Add Integral Manifolds for Impulsive Differential Problems with Applications by Ivanka Stamova and Gani Stamov to your professional library and advance your work in nonlinear dynamics and applied modeling today.

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