Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON MONOTONIC DEPENDENCE OF THE LOCAL SOLUTION OF NONLINEAR HYBRID DIFFERENTIAL EQUATIONS ON INITIAL DATA

  • JANHAVI B. DHAGE (Kasubai, Gurukul Colony) ;
  • BAPURAO C. DHAGE (Kasubai, Gurukul Colony)
  • Received : 2025.09.01
  • Accepted : 2025.12.27
  • Published : 2026.03.30
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Abstract

In this paper, we discuss monotonic dependence of the local solution on the initial data of certain initial value problems of nonlinear first order ordinary hybrid differential equations which is complementary to the recent results proved by Dhage and Dhage (2023). Our approach is different from the comparison theorems proved in McNabb (1986) and Budincevi (2010) and it is based on the Dhage iteration method and hybrid fixed point principles. A couple of examples are also provided to illustrate the underlined ideas of the hypotheses and abstract results of this paper.

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Acknowledgement

The authors are thankful to the referee for giving some useful suggestions for the improvement of this paper.

References

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