Approximation methods in the theory of hybrid differential equations with linear perturbations of second type

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Published: Mar 23, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1328
Keywords:
Hybrid differential equation Existence theorem Upper and lower solutions Monotone iterative technique.

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Bapurao Chandrabahan Dhage
Kasubai, Gurukul Colony Ahmedpur-413 515 Dist Latur, Maharashtra India

Abstract

In this paper, some existence theorems for the extremal solutions are proved for an initial value problem of nonlinear hybrid differential equations via constructive methods. The monotone iterative techniques for initial value problems of first order hybrid differential equations are developed and it is shown that the sequences of successive iterations defined in a certain way converge to the minimal and maximal solutions of the hybrid differential equations.

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How to Cite
Dhage, B. C. (2014). Approximation methods in the theory of hybrid differential equations with linear perturbations of second type. Tamkang Journal of Mathematics, 45(1), 39–61. https://doi.org/10.5556/j.tkjm.45.2014.1328
Issue
Vol. 45 No. 1 (2014)
Section
Papers
Author Biography

Bapurao Chandrabahan Dhage, Kasubai, Gurukul Colony Ahmedpur-413 515 Dist Latur, Maharashtra India

Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur,Maharashtra, India

References

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