Quasilinear equations that are not solved for the higher-order time derivative

DOI10.1134/S003744661504014XzbMath1332.34017OpenAlexW2190697146MaRDI QIDQ748482

Marina Vasilyevna Plekhanova

Publication date: 29 October 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744661504014x

zbMATH Keywords

Cauchy problemquasilinear equationinitial boundary value problemdegenerate evolution equationgeneralized Showalter-Sidorov problemhigher-order equation

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear differential equations in abstract spaces (34G20) Linear differential equations in abstract spaces (34G10)

Related Items (6)

Optimal control for quasilinear degenerate distributed systems of higher order ⋮ DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE ⋮ Unnamed Item ⋮ Distributed Order Equations in Banach Spaces with Sectorial Operators ⋮ Strong Solutions of Semilinear Equations with Lower Fractional Derivatives ⋮ A Cauchy type problem for a degenerate equation with the Riemann-Liouville derivative in the sectorial case

Cites Work

• On nonlocal solutions of semilinear equations of the Sobolev type
• A class of degenerate differential equations with convergence
• Initial-boundary value problems for the equations of motion of Kelvin- Voigt fluids and Oldroyd fluids
• On the solvability of a nonstationary problem describing the dynamics of an incompressible viscoelastic fluid
• Boundary value problems for some classes of higher-order equations that are unsolved with respect to the highest derivative
• Initial boundary value problem for generalized Boussinesq type equations with nonlinear source
• Linear Sobolev type equations and degenerate semigroups of operators
• Nonlinear Degenerate Evolution Equations and Partial Differential Equations of Mixed Type
• The Cauchy problem for an equation of Sobolev type with power non-linearity
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