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<p>We study a priori estimate, existence, and uniqueness of solutions for a fourth-order boundary value problem with three-point conditions. The Leray–Schauder continuation principle is the primary tool used to prove our existence result. To demonstrate the applicability of the results, examples are included.</p>

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A priori estimate, existence, and uniqueness of solutions for a fourth-order nonlocal boundary value problem

  • 期刊论文

  • 发表日期：

    2025年7月28日

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  • Sergey Smirnov

摘要

We study a priori estimate, existence, and uniqueness of solutions for a fourth-order boundary value problem with three-point conditions. The Leray–Schauder continuation principle is the primary tool used to prove our existence result. To demonstrate the applicability of the results, examples are included.