"Boundary value problems." . . "Singular perturbations (Mathematics)" . . "Randwertproblem Partielle Differentialgleichung Singuläre Störung Asymptotische Entwicklung." . . "Problemi al contorno." . . "Équations différentielles Théorie asymptotique." . . "Singularly perturbed boundary-value problems"@en . "Singularly perturbed boundary-value problems" . . "This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for various phenomena in biology, chemistry, and engineering. The authors are particularly interested in nonlinear problems, which have hardly been examined so far in the literature dedicated to singular perturbations. This book proposes to fill in this gap, since most applications are described by nonlinear models. Their asymptotic analysis is very interesting, but requires special methods and tools. The treatment presented in this volume comb."@en . . . "Singularty perturbed boundary-value problems" . . . "Electronic books" . "Electronic books"@en . . . . . . . . . . . . . . . . . . . . . . "Singularly perturbed Boundary-Value problems" . . . . "Llibres electrònics" . "Singularly perturbed boundary value problems" . "Singularly Perturbed Boundary-value Problems"@en . . . . . . . . . . . . . . . . . . . . . . . . . . . "Singularly Perturbed Boundary-Value Problems" . "Singularly Perturbed Boundary-Value Problems"@en . . . "\"It is well known that many phenomena in biology, chemistry, engineering, physics canbedescribedbyboundaryvalueproblemsassociatedwithvarioustypes ofp- tial di?erential equations or systems. When we associate a mathematical model with a phenomenon, we generally try to capture what is essential, retaining the important quantities and omitting the negligible ones which involve small par- eters. The model that would be obtained by maintaining the small parameters is called the perturbed model, whereas the simpli?ed model (the one that does not includethesmallparameters)iscalledunperturbed(orreducedmodel). Ofcourse, the unperturbed model is to be preferred, because it is simpler. What matters is that it should describefaithfully enoughthe respectivephenomenon, which means that its solution must be \"close enough\" to the solution of the corresponding perturbed model. This fact holds in the case of regular perturbations (which are de?ned later). On the other hand, in the case of singular perturbations, things get morecomplicated. If we refer to aninitial-boundary value problem,the solutionof theunperturbed problemdoes notsatisfy ingeneralallthe originalboundary c- ditions and/or initial conditions (because some of the derivatives may disappear byneglecting the small parameters). Thus, somediscrepancymay appear between the solution of the perturbed model and that of the corresponding reduced model. Therefore, to ?ll in this gap, in the asymptotic expansion of the solution of the perturbed problem with respect to the small parameter (considering, for the sake of simplicity, that we have a single parameter), we must introduce corrections (or boundary layer functions). Morethanhalfacenturyago,A. N.\" -- Font no determinada." . . . . "Randwertproblem" . . "Randwertproblem." . "Nonlinear boundary value problems." . . "Equazioni alle derivate parziali." . . "Asymptotische Entwicklung" . . "Asymptotische Entwicklung." . "Perturbaţii singulare (Matematică)" . . "Mathematics." . . "Mathematics" . "Asymptotische Entwicklung Randwertproblem." . . "Singuläre Störung" . . "Singuläre Störung." . "Boundary value problems Asymptotic theory." . . "Singuläre Störung Randwertproblem Partielle Differentialgleichung Asymptotische Entwicklung." . . "Partial Differential Equations." . . "Problèmes aux limites non linéaires." . . "MATHEMATICS Differential Equations General." . . "Probleme la limită neliniare." . . . . "Differential equations, Partial." . . "Differential equations, Partial" . "Partielle Differentialgleichung Randwertproblem Singuläre Störung Asymptotische Entwicklung." . . "Perturbations singulières (Mathématiques)" . . "Perturbations singulières (mathématiques)." . "Problèmes aux limites Théorie asymptotique." . . "Equazioni differenziali." . . "Probleme la limită Teorie asimptotică." . . "Partielle Differentialgleichung" . . "Partielle Differentialgleichung." . "Asymptotische Entwicklung Randwertproblem Singuläre Störung Partielle Differentialgleichung." . . "Randwertproblem Asymptotische Entwicklung." . . "Electronic books." . .