Second Order Iterative Dynamic Boundary Value Problems with Mixed Derivative Operators with Applications

• Jehad Alzabut ^[2] ; Mahammad Khuddush ^[3] ; A. George Maria Selvam ^[1] ; D. Vignesh ^[1]
  1. [1] Sacred Heart College

     Sacred Heart College

     India

     
  2. [2] Prince Sultan University & OST˙IM Technical University
  3. [3] Dr. Lankapalli Bullayya College of Engineering

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 22, Nº 1, 2023
• Idioma: inglés
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  • In this paper, we derive sufficient conditions for the existence and uniqueness of solutions of the iterative dynamic boundary value problem of second order with mixed derivative operators. For the existence, we utilize Schauder’s fixed point theorem while for uniqueness we apply contraction mapping principle. Further, a continuous dependence of bounded solutions to the addressed problem is studied. Finally, we demonstrate the validity of our findings by constructing examples as applications to beam deflection due to thermal stress and temperature distribution along the wire