The current study deals with the exact solutions of nonlinear confirmable time fractional
Sobolev type equations. Such equations have applications in thermodynamics, the flow of …

In this paper, we consider the Cauchy problem for one nonclassical, third‐order, model
partial differential equation with nonlinearity| u| q in. We show that for q∈(1, 3], there are no …

We consider the Cauchy problem for a model partial differential equation of order three with
a non-linearity of the form $|\nabla u|^ q $. We prove that when $ q\in (1, 3/2] $ the Cauchy …

In this manuscript, the Sobolev-type equations are examined analytically. The Sobolev-type
equations are important in many fields, including thermodynamics, physics, soil mechanics …

Three nonlinear equations for ion acoustic and drift waves in a plasma are derived. The
fundamental solution of the common linear part of the resulting nonlinear equations is …

The article contains a review of the results obtained in the scientific school of Georgy
Sviridyuk in the field of semilinear Sobolev type mathematical models. The paper presents …

§ 1. Введение Впервые явление полного разрушения (“complete blow-up”) было
обнаружено для уравнения−∆ u=| x|− 2u2, u⩾ 0, x∈ Ω\{0}⊂ RN,(1.1) в работе Х. Брезиса …

В работе рассмотрена абстрактная задача Коши с нелинейными операторными
коэффициентами. Доказано существование единственного непродолжаемого …

We consider two model non-linear equations describing electric oscillations in systems with
distributed parameters on the basis of diodes with non-linear characteristics. We obtain …

We consider an abstract Cauchy problem with non-linear operator coefficients and prove the
existence of a unique non-extendable classical solution. Under certain sufficient close-to …