Results 161 to 170 of about 566 (183)
Some of the next articles are maybe not open access.
Bifurcation singularities of a singularly perturbed equation with delay
Siberian Mathematical Journal, 1999The singularly perturbed equation with delay of the form \[ \varepsilon \frac{dx}{dt}+x(t-\varepsilon h)=F(x(t-1)) \] is considered.
openaire +2 more sources
Metastable Periodic Patterns in Singularly Perturbed Delayed Equations
Journal of Dynamics and Differential Equations, 2010The equation \[ \varepsilon\dot{x}(t)=-x(t)+f(x(t-1)) \] is considered in the limit \(\varepsilon\to 0\) for both cases of Positive Feedback (PF) and Negative Feedback (NF) by the nonlinearity \(f\), which is assumed to be odd in the positive feedback case.
Grotta-Ragazzo, C. +2 more
openaire +1 more source
Singularly perturbed integrodifferential equations with unstable spectrum
Ukrainian Mathematical Journal, 1989The author considers the initial value problem for the integro-ordinary differential equation \(\epsilon y'+xy+\lambda \int^{b}_{a}K(x,s)y(s)ds=f(x)\), \(x\in [a,b ...
openaire +2 more sources
Singularly Perturbed Differential-Difference Equations
1993A delay equation $$ v\dot x\left( x \right) = - x\left( t \right) + f\left( {x\left( t \right)} \right),x\left( t \right):{R^ + } \to R, v >0, $$ (3.1) and some its generalizations have recently become a matter of interest in the theory of differential equations.
A. N. Sharkovsky +2 more
openaire +1 more source
Singularly Perturbed Differential/Algebraic Equations.
1994Abstract : In this paper, singularly perturbed nonlinear differential/algebraic equations (DAEs) are considered and a proof of the existence and uniqueness of a solution is given. Asymptotic expansions for such a solution are obtained and proved to be uniformly convergent.
openaire +1 more source
On existence of kink and antikink wave solutions of singularly perturbed Gardner equation
Mathematical Methods in the Applied Sciences, 2020Zhenshu Wen
exaly
Analysis of a nonlinear singularly perturbed Volterra integro-differential equation
Journal of Computational and Applied Mathematics, 2022, Sunil Kumar, J Vigo-Aguiar
exaly
The Limit Equation of a Singularly Perturbed System
2013In this chapter we establish the limit equations of the singularly perturbed elliptic and parabolic systems arising in the study of Bose–Einstein condensation. The proof relies on a stationary condition and a monotonicity formula.
openaire +1 more source