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Singularly Perturbed Problems: Asymptotic Analysis and Approximate Solution
Hardcover
ISBN13: 9783036560298
Publisher: Mdpi AG
Published: Dec 22 2022
Pages: 258
Weight: 1.67
Height: 0.81 Width: 6.69 Depth: 9.61
Language: English
This book collects papers from the Special Issue Singularly Perturbed Problems: Asymptotic Analysis and Approximate Solution, published in Axioms. These papers cover different aspects of singular perturbation theory and its applications: axiomatic approach in the analytic theory of singular perturbations; asymptotic solution of various types of singularly perturbed integral-differential and integral equations with weakly and rapidly varying kernels of the integral operators; propagation of two-dimensional periodic perturbations in a viscous continuously stratified fluid; asymptotic analysis of the stochastic linear-quadratic optimal control problem with two fast timescales in the dynamics; asymptotic solution of singularly perturbed Cauchy problem for different types of differential equations with simple turning points; asymptotic analysis of the complete Euclidean space controllability for different types of singularly perturbed differential systems with time delays; asymptotic solution of singularly perturbed systems in the critical case by the orthogonal projector method; application of the direct scheme method to asymptotic solution of one class of optimal control problems with three-tempo state variables; asymptotic analysis and solution of a cheap control linear quadratic zero-sum differential game; analysis of asymptotic behavior of the solutions for one class of singularly perturbed Neumann boundary value problems .
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