Maximum Regularity of a Third-Order Singular Nonlinear Equation

Muratbekov M. Muratbekov M. Abylayeva A.
2026 John Wiley and Sons Ltd

Mathematical Methods in the Applied Sciences
2026

This paper investigates a nonlinear singular third-order equation with an unbounded coefficient at infinity. The existence and (Formula presented.) -maximal regularity of solutions to the nonlinear equation are established. The method of (Formula presented.) -regularization is applied in proving the existence of solutions. This approach has proven effective in the case of an unbounded domain with an unbounded coefficient.

approximation numbers , maximum regularity , nonlinear singular equation , separability , third-order equation

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Mathematics in Education, Dulaty University (Taraz Regional University named after M.Kh. Dulaty), Taraz, Kazakhstan
Information Security, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan
Fundamental Mathematics, L.N. Gumilyov Eurasian National University, Astana, Kazakhstan

Mathematics in Education
Information Security
Fundamental Mathematics

10 лет помогаем публиковать статьи Международный издатель

Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026