We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations. Opposite to [J. Differential Equations 400(2024), 314–375] we assume that the unperturbed (frozen) equation
Flaviano Battelli +2 more
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Uniformly convergent computational method for singularly perturbed unsteady burger-huxley equation. [PDF]
Daba IT, Duressa GF.
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Layer resolving numerical scheme for singularly perturbed parabolic convection-diffusion problem with an interior layer. [PDF]
Kusi GR, Habte AH, Bullo TA.
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A uniformly convergent numerical scheme for solving singularly perturbed differential equations with large spatial delay. [PDF]
Ejere AH +3 more
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Two-dimensional parabolic problem with a rapidly oscillating free term
Theaim of this paper is to construct regularized asymptotics of the solution of a two-dimensional partial differential equation of parabolictype with a small parameter for all spatial derivatives and a rapidlyoscillating free term.
Ella Abylaeva, Asan Omuraliev
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In this paper, we prove a uniqueness theorem for rapidly oscillating periodic solutions of the singularly perturbed differential-delay equation $varepsilon dot{x}(t)=-x(t)+f(x(t-1))$.
Hari P. Krishnan
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Fitted computational method for solving singularly perturbed small time lag problem. [PDF]
Tesfaye SK +3 more
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Computational method for singularly perturbed parabolic differential equations with discontinuous coefficients and large delay. [PDF]
Daba IT, Duressa GF.
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An efficient numerical method for a singularly perturbed Fredholm integro-differential equation with integral boundary condition. [PDF]
Durmaz ME, Amirali I, Amiraliyev GM.
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