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<p>In this paper, we consider nonlinear second-order iterative functional boundary value problems on time scales. New results have been derived concerning the existence, uniqueness, and continuous dependence of bounded solutions. Then, we set the criteria for the existence of at least one and three positive solutions by utilizing fixed point theorems in cones. We also give examples to show that the criteria in the main results are satisfiable.</p>

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Existence of solutions for iterative functional boundary value problems on time scales

  • 期刊论文

  • 发表日期：

    2025年12月8日

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  • İsmail Yaslan,
  • Ayşe Karakuş

摘要

In this paper, we consider nonlinear second-order iterative functional boundary value problems on time scales. New results have been derived concerning the existence, uniqueness, and continuous dependence of bounded solutions. Then, we set the criteria for the existence of at least one and three positive solutions by utilizing fixed point theorems in cones. We also give examples to show that the criteria in the main results are satisfiable.