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Applications of the Method of Barriers II. Some Singularly Perturbed Problems
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February 23, 2010
Abstract
The method of barriers is used to justify asymptotic representations of solutions of two-point boundary value problems for singularly perturbed quasilinear equations of the second and the third order. This paper is a continuation of [Rozov and Sushko, Georgian Math. J. 2: 99-110, 1995].
Key words and phrases.: Barrier function; singularly perturbed quasilinear differential equations of the second and third order; two-point boundary value problem; asymptotic representation
Received: 1994-01-27
Published Online: 2010-02-23
Published in Print: 1995-June
© 1995 Plenum Publishing Corporation
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Articles in the same Issue
- On Structure of Solutions of a System of Four Differential Inequalities
- On the Darboux Transformation. I
- Kneser-Type Oscillation Criteria for Self-Adjoint Two-Term Differential Equations
- Basic Boundary Value Problems of Thermoelasticity for Anisotropic Bodies with Cuts. II
- Weighted Reverse Weak Type Inequality for General Maximal Functions
- On a Generalization of the Keldysh Theorem
- On a Spatial Problem of Darboux Type for a Second-Order Hyperbolic Equation
- Some Negative Results Concerning the Process of Fejér Type Trigonometric Convolution
- Applications of the Method of Barriers II. Some Singularly Perturbed Problems
