Amirov, Sherif2024-09-292024-09-2920140096-30031873-5649https://doi.org/10.1016/j.amc.2014.07.095https://hdl.handle.net/20.500.14619/4361In the paper, the solvability of the first initial-boundary value problem for a quasilinear pseudoparabolic equation u(t) - Delta u(t) - partial derivative/partial derivative x(i) (b(ij)(x, t, u)u(xj)) + c(i)(x, t, u)u(xi) + v(x, t, u) = f(x, t) with increasing with respect to zeta functions b(ij)(x, t, zeta), c(i)(x, t, zeta) and v(x, t, zeta) was investigated. The existence and uniqueness of regular solutions are proven. (C) 2014 Elsevier Inc. All rights reserved.eninfo:eu-repo/semantics/closedAccessQuasilinear pseudoparabolic equationsNon-linear equationsEquations of Sobolev typeComposite type equationsBoundary value problemArticle10.1016/j.amc.2014.07.0952-s2.0-84906572062120Q1112246WOS:000344473300011Q1