Differential Inequalities and Comparison Principles for Linearly Perturbed Differential Equations of First Type


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Authors

  • Bapurao C. Dhage ``Kasubai", Gurukul Colony, Thodga Road, Ahmedpur, Latur, Maharashtra, India
  • Namdev S. Jadhav Department of Mathematics, Madhavrao Patil College, Palam, Parbhani, Maharashtra, India
  • Sidharth D. Sarkate Department of Mathematics, Millind College of Science, Nagsenvana, Aurangabad, Maharashtra, India

Keywords:

First order hybrid differential equation, Hybrid fixed point principle, Existence theorem, Maximal and minimal solutions

Abstract

In this paper, some results concerning the global existence as well as comparison theorems for an initial value problem of first order hybrid differential equations with a linear perturbation of first type have been proved. The main results rely on the hybrid fixed point technique of Dhage involving the sum of two operators in a Banach space. Our results include several basic results for unperturbed nonlinear differential equations as special cases.

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Published

15-12-2018

How to Cite

Bapurao C. Dhage, Namdev S. Jadhav, & Sidharth D. Sarkate. (2018). Differential Inequalities and Comparison Principles for Linearly Perturbed Differential Equations of First Type. International Journal of Mathematics And Its Applications, 6(4), 133–141. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/335

Issue

Vol. 6 No. 4 (2018)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.