Asymptotic solutions of singular perturbed problems with an instable spectrum of the limiting operator

DOI10.1155/2012/120192zbMath1250.35023OpenAlexW1980122376WikidataQ58694845 ScholiaQ58694845MaRDI QIDQ448583

Burkhan T. Kalimbetov, Zhanibek O. Khabibullayev, Marat A. Temirbekov

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/120192

zbMATH Keywords

dual singular pointsequations with incomplete initial data

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20)

Related Items (6)

Asymptotic solutions of singularly perturbed integro-differential systems with rapidly oscillating coefficients in the case of a simple spectrum ⋮ Algorithm of the regularization method for a nonlinear singularly perturbed integro-differential equation with rapidly oscillating inhomogeneities ⋮ Regularized asymptotical solutions of integro-differential systems with spectral singularities ⋮ Unnamed Item ⋮ Asymptotic solutions of integro-differential equations with partial derivatives and with rapidly varying kernel ⋮ Asymptotic solution of the Cauchy problem for the singularly perturbed partial integro-differential equation with rapidly oscillating coefficients and with rapidly oscillating heterogeneity

Cites Work

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• A note on the parabolic equation with an arbitrary parameter at the derivative
• Asymptotic behaviour of the iterates of positive linear operators
• Asymptotic behaviors of intermediate points in the remainder of the Euler-Maclaurin formula
• Positive solutions for singular complementary Lidstone boundary value problems
• On asymptotic behaviour of solutions to \(n\)-dimensional systems of neutral differential equations
• Asymptotic comparison of the solutions of linear time-delay systems with point and distributed lags with those of their limiting equations
• Bessel inequality, Riesz theorem, and unconditional basis property for root vectors of ordinary differential operators
• New difference schemes for partial differential equations.
• Step-like contrasting structures for a system of singularly perturbed equations
• Step-like contrasting structures for a singularly perturbed quasilinear second-order differential equation
• Singularly perturbed periodic parabolic equations with alternating boundary layer type solutions
• On Uniform Difference Schemes of a Higher Order of Approximation for Elliptical Equations with a Small Parameter
• On uniform difference schemes of a high order of approximation for evolution equations with a small parameter
• On Uniform Difference Schemes for Second-Order Singular Perturbation Problems in Banach Spaces
• Matched Expansion Solutions of the First-Order Turning Point Problem

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