Differential Equations

Conjugate Gradient Type Methods for Ill-Posed Problems..

Introduces readers to the inherent characteristics of nonlinear DAE systems and the methods used to address their control. This work then discusses the significance of DAE systems to the modeling and control of chemical processes. It presents results on the stabilization and disturbance elimination ..

Presents material on control problems for partial differential equations...

The field of control theory in PDEs has broadened as more realistic models have been introduced and investigated. This book presents a range of developments, discoveries, and mathematical tools in the field. It discusses topics such as elasticity, thermo-elasticity, aero-elasticity and interactions ..

CR Manifolds and the Tangential Cauchy Riemann Complex..

This book explains how the Adomian decomposition method can solve differential equations for the series solutions of fundamental problems in physics, astrophysics, chemistry, biology, medicine, and other scientific areas. It covers the four classes of the decomposition method: regular/ordinary decom..

Filling a gap in the literature, this book reveals important results on ordinary differential equations (ODEs) and partial differential equations (PDEs). It presents very recent results relating to the existence, boundedness, regularity, and asymptotic behavior of global solutions for differential e..

This book provides a broad introduction to the mathematics of difference equations and their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with more problems and an expanded bibliography, this edi..

The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equatio..

Suitable for a graduate seminar in mathematical modelling, and for scientists in a wide range of disciplines, this title presents 22 lectures from an international conference in Leibnitz, Austria (no date mentioned), explaining developments and results in differential equations...

This text provides an introductory understanding of stochastic evolution equations for those with minimal formal training in mathematics. It develops all necessary prerequisite material in real analysis, probability theory, and functional analysis. The author presents examples of 20 different models..

With many concrete examples and questions, this book provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. Developing all necessary prerequisite material, from real analysis to..