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March 10, 2026Mathematical Methods in the Applied Sciences0 citations

Maximum Regularity of a Third‐Order Singular Nonlinear Equation

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MMMussakan MuratbekovMMMadi MuratbekovAAAkbota Abylayeva

Key Points

  • The research aims to establish the existence and maximal regularity of solutions for a third-order singular nonlinear equation.
  • Investigated a singular third-order nonlinear equation with an unbounded coefficient at infinity.
  • Applied the method of regularization to prove the existence of solutions.
  • Focused on cases involving unbounded domains.
  • Established the existence of solutions for the nonlinear equation.
  • Demonstrated maximal regularity for these solutions under specific conditions.

Abstract

ABSTRACT This paper investigates a nonlinear singular third‐order equation with an unbounded coefficient at infinity. The existence and ‐maximal regularity of solutions to the nonlinear equation are established. The method of ‐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.

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Cite This Study

Muratbekov et al. (2026) studied this question.

synapsesocial.com/papers/69af95b470916d39fea4d7afhttps://doi.org/10.1002/mma.70530
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