Some singularly perturbated superquadratic boundary value problems whose solutions exhibit boundary and shock layer behavior

Author:

Howes F.A.

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference19 articles.

1. Asymptotic behavior of solutions to certain problems involving nonlinear differential equations containing a small parameter multiplying the highest d erivatives;Vasil'eva;Russian Math. Surveys,1963

2. Asymptotic Expansions for Ordinary Differential Equations;Wasow,1965

3. Perturbation Methods in Applied Mathematics;Cole,1968

4. Introduction to Singular Perturbations;O'Malley,1974

5. Singular perturbations and differential inequalities;Howes;Mem. Am. math. Soc.,1976

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1. The Method of Matched Asymptotic Expansions and Its Generalizations;Historical Developments in Singular Perturbations;2014

2. Invariant Manifolds and Singularly Perturbed Boundary Value Problems;SIAM Journal on Numerical Analysis;1994-12

3. Singularly perturbed semilinear elliptic equation with boundary-interior layer interaction;Applied Mathematics and Mechanics;1992-01

4. Sauts des Solutions des Équations $\varepsilon \ddot x = f(t,x,\dot x)$;SIAM Journal on Mathematical Analysis;1986-05

5. Boundary and interior layers for singularly pertubed boundary value problems;Nonlinear Analysis: Theory, Methods & Applications;1984-01

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