Asymptotic Behavior of Slowly Varying Solutions of Second-Order Ordinary Binomial Differential Equations with Rapidly Varying Nonlinearity
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-018-4111-7
Abstract: We establish new conditions for the existence of slowly varying solutions of a second-order differential binomial nonautonomous equation with rapidly varying nonlinearity. We also determine the asymptotic representations for these solutions and their first derivatives… read more here.
Keywords: slowly varying; solutions second; second order; varying nonlinearity ... See more keywords
Regularized Asymptotic Solutions of Nonlinear Integro-Differential Equations with Zero Operator in the Differential Part and with Several Rapidly Varying Kernels
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DOI: 10.1134/s0012266121060057
Abstract: We consider a nonlinear integro-differential equation with zero operator in the differential part whose integral operator contains several rapidly varying kernels. This paper continues the research carried out earlier for equations with only one rapidly… read more here.
Keywords: integro differential; operator differential; differential equations; differential part ... See more keywords
Low-voltage-driven liquid crystal scattering-controllable device based on defects from rapidly varying boundary.
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DOI: 10.1364/ol.450620
Abstract: In this work, we disclose a method to fabricate an electronically tunable liquid crystal (LC) device that can switch between scattering and transparent state. The light scattering domain is attributed to defects from a rapidly… read more here.
Keywords: rapidly varying; defects rapidly; liquid crystal; varying boundary ... See more keywords