The Nature of Resonance in a Singular Perturbation Problem of Turning Point Type
From MaRDI portal
Publication:3858582
DOI10.1137/0511001zbMath0424.34021OpenAlexW2158207266MaRDI QIDQ3858582
Publication date: 1980
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0511001
Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items
A singular perturbation problem with boundary and turning point resonance ⋮ Singular and turning point resonance: Small perturbations - big effects ⋮ On the Asymptotic and Numerical Analyses of Exponentially III‐Conditioned Singularly Perturbed Boundary Value Problems ⋮ On exponential ill-conditioning and internal layer behavior ⋮ An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer ⋮ A finite element method with a large mesh-width for a stiff two-point boundary value problem ⋮ Eight Perspectives on the Exponentially Ill-Conditioned Equation $\varepsilon y - x y' + y = 0$ ⋮ Another example in the solvability theory of pdo's with double characteristics ⋮ A review on singularly perturbed differential equations with turning points and interior layers ⋮ A Variational Principle for the Ackerberg-O'Malley Resonance Problem ⋮ Slow travelling waves on a finite interval for Burgers'-type equations ⋮ Overstability and resonance.
