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Differential Equations and Asymptotic Analysis: Recent Advances and Applications

Posted By: AvaxGenius
Differential Equations and Asymptotic Analysis: Recent Advances and Applications

Differential Equations and Asymptotic Analysis: Recent Advances and Applications by Behzad Djafari-Rouhani
English | PDF | 2024 | 234 Pages | ISBN : 3725803358 | 6.2 MB

Many real-world problems in science and engineering, including physical, biological, and social phenomena, can be mathematically formulated and rigorously solved by modeling them in linear and nonlinear differential and partial differential equations. This Special Issue titled “Differential Equations and Asymptotic Analysis: Recent Advances and Applications” consists of a collection of papers written by eminent mathematicians and experts in their fields, covering many different areas of nonlinear analysis, both theoretical and applied, related to differential equations, including fixed point theory, monotone operator theory, equilibrium problems and optimization, asymptotic analysis, mathematical biology, and numerical computations. We hope that this Special Issue will be of interest to many researchers, as well as graduate students working in these fields.

Asymptotic Analysis: Linear Ordinary Differential Equations

Posted By: AvaxGenius
Asymptotic Analysis: Linear Ordinary Differential Equations

Asymptotic Analysis: Linear Ordinary Differential Equations by Mikhail V. Fedoryuk
English | PDF | 1993 | 370 Pages | ISBN : 3540548106 | 42.2 MB

In this book we present the main results on the asymptotic theory of ordinary linear differential equations and systems where there is a small parameter in the higher derivatives. We are concerned with the behaviour of solutions with respect to the parameter and for large values of the independent variable. The literature on this question is considerable and widely dispersed, but the methods of proofs are sufficiently similar for this material to be put together as a reference book. We have restricted ourselves to homogeneous equations.

Topological Derivatives in Shape Optimization (Repost)

Posted By: AvaxGenius
Topological Derivatives in Shape Optimization (Repost)

Topological Derivatives in Shape Optimization by Antonio André Novotny
English | PDF | 2013 | 422 Pages | ISBN : 3642352448 | 4.6 MB

The topological derivative is defined as the first term (correction) of the asymptotic expansion of a given shape functional with respect to a small parameter that measures the size of singular domain perturbations, such as holes, inclusions, defects, source-terms and cracks. Over the last decade, topological asymptotic analysis has become a broad, rich and fascinating research area from both theoretical and numerical standpoints.