STABILITY ANALYSIS OF THIRD-ORDER PARTIAL DIFFERENTIAL EQUATION UNDER SPECIFIC NONCLASSICAL INTEGRAL CONDITIONS

Ashyralyev A. Belakroum K. Hebik M.
2026 Springer

Journal of Mathematical Sciences (United States)
2026

This study concerns third-order partial differential equations (PDEs) with non-local integral and non-classical boundary conditions. The primary focus is on establishing the well-posedness of the associated non-local boundary value problem (BVP). Using an operator-based method, we derive stability theorems that guarantee the continuous dependence of the solution on the input data. We then apply these stability theorems to obtain explicit stability estimates for two specific non-local boundary value problems involving third-order PDEs, thereby demonstrating the practical implications of our theoretical results.

Hilbert spaces , Nonlocal BVPs , Self-adjoint positive definite operator , Stability analysis , Third-order PDEs

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Department of Mathematics, Bahcesehir University, Istanbul, 34349, Turkey
Department of Mathematics, Peoples’ Friendship University of Russia, Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics, Mentrouri Constantine 1 University, Constantine, 25017, Algeria

Department of Mathematics
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
Department of Mathematics

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