Results 151 to 160 of about 569 (183)
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Nonlinear singularly perturbed problems of ultra parabolic equations
Applied Mathematics and Mechanics, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Surong, Mo, Jiaqi
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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
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Convergence in the boundary layer for singularly perturbed equations
Automatica, 1982A singularly perturbed linear finite-dimensional ordinary differential equation is considered on the half-line [0, ~). The reduced system is assumed to have a unique solution in the sense of distributions. It is proved that under reasonable conditions the solution of the full system converges to that of the reduced in the distributional sense, and the ...
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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 ...
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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
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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.
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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.
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On existence of kink and antikink wave solutions of singularly perturbed Gardner equation
Mathematical Methods in the Applied Sciences, 2020Zhenshu Wen
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Analysis of a nonlinear singularly perturbed Volterra integro-differential equation
Journal of Computational and Applied Mathematics, 2022Sunil Kumar, Vigo Aguiar
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