Mixed problem for a higher-order nonlinear pseudoparabolic equation

DOI10.1007/s10958-021-05339-wzbMath1461.35137OpenAlexW3150725698MaRDI QIDQ2663211

T. K. Yuldashev, K. Kh. Shabadikov

Publication date: 16 April 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05339-w

zbMATH Keywords

parameterunique solvabilitymethod of successive approximationsgeneralized derivative

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Semilinear parabolic equations (35K58)

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Cites Work

• Boundary value problem with normal derivatives for a higher-order elliptic equation on the plane
• Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval
• Multidimensional generalized Erdélyi-Kober operator and its application to solving Cauchy problems for differential equations with singular coefficients
• Mixed value problem for nonlinear integro-differential equation with parabolic operator of higher power
• The Higher-Order Sobolev-Type Models
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS
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