Estimates of the Solution and Its Derivatives for the Semiperiodic Boundary Problem for Pseudoparabolic Equations
Ospanov M. Merzetkhan A.
September 2025John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2025#48Issue 1312801 - 12806 pp.
In this work, the existence and uniqueness of the solution to the semiperiodic boundary problem for a third-order partial differential equation are obtained. Estimates for the solution and its derivatives have been established. To achieve this, a special substitution is used to reduce the third-order equation to a system of ordinary differential equations (ODE) and functional relations. The unique solvability of the resulting periodic boundary value problem for the ODE system is proven using the parameterization method.
diagonal dominance , nonlocal problems , parameterization method , pseudoparabolic equations
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Faculty of Mathematics and Mechanics and L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
Faculty of Mathematics and Mechanics and L.N. Gumilyov Eurasian National University
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