Results 1 to 10 of about 188,030 (268)

Complete Asymptotics for Solution of Singularly Perturbed Dynamical Systems with Single Well Potential

Mathematics, 2020
We consider a singularly perturbed boundary value problem ( − ε 2 ∆ + ∇ V · ∇ ) u ε = 0 in Ω , u ε = f on ∂ Ω , f ∈ C ∞ ( ∂ Ω ) .
Denis I. Borisov, Oskar A. Sultanov
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On the asymptotic expansion of certain plane singular integral operators

Boundary Value Problems, 2017
We discuss the problem of the asymptotic expansion for some operators in a general theory of pseudo-differential equations on manifolds with borders. Using the distribution theory one obtains certain explicit representations for these operators.
Vladimir Vasilyev
doaj   +1 more source

Differential/Algebraic Equations As Stiff Ordinary Differential Equations

SIAM Journal on Numerical Analysis, 1992
To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
openaire   +3 more sources

ON THE EQUIVALENCE OF DIFFERENTIAL EQUATIONS

Journal of Applied Analysis & Computation, 2014
Summary: We use the reflecting function of Mironenko to study some complicated differential equations which are equivalent to the Riccati equation and some polynomial differential equations. The results are applied to discussion of the qualitative behavior of periodic solutions of these complicated differential equations.
Zhou, Zhengxin, Tai, Richang, Wang, Fei, Zong, Shuying   +3 more
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MULTIPLE SOLUTIONS TO THIRD-ORDER DIFFERENTIAL EQUATIONS WITH DERIVATIVE DEPENDENCE AND DEVIATING ARGUMENTS

TASK Quarterly, 2016
In this paper, we give some new results for multiplicity of positive (nonnegative) solutions for third-order differential equations with derivative dependence, deviating arguments and Stieltjes integral boundary conditions.
TADEUSZ JANKOWSKI
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SUCCESSIVE ITERATIVE METHOD FOR HIGHER-ORDER FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING STIELTJES INTEGRAL BOUNDARY CONDITIONS

TASK Quarterly, 2016
In this paper, the existence of positive solutions to fractional differential equations with delayed arguments and Stieltjes integral boundary conditions is discussed.
TADEUSZ JANKOWSKI
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Cotton-Type and Joint Invariants for Linear Elliptic Systems

The Scientific World Journal, 2013
Cotton-type invariants for a subclass of a system of two linear elliptic equations, obtainable from a complex base linear elliptic equation, are derived both by spliting of the corresponding complex Cotton invariants of the base complex equation and from
A. Aslam, F. M. Mahomed
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FRACTIONAL PROBLEMS WITH RIGHT-HANDED RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES

TASK Quarterly, 2016
In this paper, we investigate the existence of solutions for advanced fractional differential equations containing the right-handed Riemann-Liouville fractional derivative both with nonlinear boundary conditions and also with initial conditions given at
TADEUSZ JANKOWSKI
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A Note on the Solutions of Some Nonlinear Equations Arising in Third-Grade Fluid Flows: An Exact Approach

The Scientific World Journal, 2014
In this communication, we utilize some basic symmetry reductions to transform the governing nonlinear partial differential equations arising in the study of third-grade fluid flows into ordinary differential equations.
Taha Aziz, F. M. Mahomed
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Variational Approach for the Reconstruction of Damaged Optical Satellite Images Through Their Co-Registration with Synthetic Aperture Radar

Journal of Optimization, Differential Equations and Their Applications, 2020
In this paper the problem of reconstruction of damaged multi-band optical images is studied in the case where we have no information about brightness of such images in the damage region. Mostly motivated by the crop field monitoring problem, we propose a
Peter I. Kogut, Mykola V. Uvarov
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