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The Cauchy problem for singularly perturbed higher-order integro-differential equations
Вестник КазНУ. Серия математика, механика, информатика, 2019 The article is devoted to research the Cauchy problem for singularly perturbed higher-order linear integro-differential equation with a small parameter at the highest derivatives, provided that the roots of additional characteristic equation have ...
A. E. Mirzakulova +3 more
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Higher order energy expansions for some singularly perturbed Neumann problems [PDF]
, 2003 We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Adimurthi +22 more
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The Asymptotics of Solutions of a Singularly Perturbed Equation with a of Fractional Turning Point
Известия Иркутского государственного университета: Серия "Математика", 2017 We develop the classical Vishik – Lyusternik – Vasil’eva – Imanaliev boundary-value method for constructing uniform asymptotic expansions of solutions of singularly perturbed equations with singular points.
D. A. Tursunov, K. G. Kozhobekov
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Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
, 2000 We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, C, Wei, J, Winter, M
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Boundary Value Problems, 2020 In this paper, we discuss third-order full nonlinear singularly perturbed vector boundary value problems. We first present the existence of solutions for the nonlinear vector boundary value problems without perturbation by using the upper and lower ...
Xiaojie Lin, Jiang Liu, Can Wang
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Asymptotic methods for solving boundary value eigenvalue problems [PDF]
E3S Web of Conferences, 2020 The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions.
Zhukova Galina
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Approximate analytical solution of singularly perturbed boundary value problems in MAPLE
AIMS Mathematics, 2020 In this paper, based on a new initial value method, an approximate analytical solution of singularly perturbed boundary value problems is obtained using a new and simple Maple program spivp.
Essam R. El-Zahar
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Frontiers in Applied Mathematics and Statistics, 2023 This paper presents a parameter-uniform numerical method to solve the time dependent singularly perturbed delay parabolic convection-diffusion problems.
Zerihun Ibrahim Hassen +1 more
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Ain Shams Engineering Journal, 2017 This paper deals with singularly perturbed boundary value problem for a linear second order delay differential equation. It is known that the classical numerical methods are not satisfactory when applied to solve singularly perturbed problems in delay ...
P. Pramod Chakravarthy +2 more
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A High-Order Method for Stiff Boundary Value Problems with Turning Points [PDF]
, 1987 This paper describes some high-order collocation-like methods for the numerical solution of stiff boundary-value problems with turning points. The presentation concentrates on the implementation of these methods in conjunction with the implementation of ...
Brown, David L., Lorenz, Jens
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