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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 2 | Year 2019 | Article Id. IJMTT-V65I2P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I2P522

Dhage Iteration Method For Nonlinear First Order Abstract Measure Differential Equations With A Linear Perturbation


D. M. Suryawanshi , S.S. Bellale
Abstract

In this paper the authors prove for the existence and approximation of the solutions for an initial and a periodic boundary value problem of nonlinear first order ordinary abstract measure differential equations with a linear perturbation via Dhage iteration method. Also we have solved an examples for the applicability of given results in the paper.

Keywords
Abstract measure differential equations, Dhage iteration methods, existence theorem, extremal solutions, approximation of solution, hybrid fixed theorem.
References

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Citation :

D. M. Suryawanshi , S.S. Bellale, "Dhage Iteration Method For Nonlinear First Order Abstract Measure Differential Equations With A Linear Perturbation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 2, pp. 139-149, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I2P522

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