...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 6 | Year 2019 | Article Id. IJMTT-V65I6P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I6P504

Approximation Method for Hybrid Functional Differential Equations


S.N.SALUNKHE
Abstract

In this paper existence theorem for the Extremal solutions is proved for an initial value problem of nonlinear hybrid functional differential equations via constructive methods.

Keywords
Extremal solution, lower and upper solution, nonlinear hybrid functional differential equations, fixed point theorem
References

[1] G.S.Ladde,V.Lakshmikantham and A.S.Vatsala,Monotone iterative techniques for nonlinear differential equations,Pitman, New York, 1985.
[2] V.Lakshmikantham and S.Leela, Differential and Integral Inequalities, Academic press,Newyork,1969
[3] B.C.Dhage, A fixed point theorem in Banach algebras with applications to functional integral equations,Kyungpook Math.J.44(2004),145-155.
[4] B.C.Dhage and V.Lakshmikantham, Global existence and convergence theorem for hybrid differential equations (Submitted for publication)
[5] B. C. Dhage, S. N. Salunkhe, Ravi Agarwal and W. zhang, A functional differential equations in Banach algebras, Math. Inequ. Appl. 8(1) (2005), 89-99.
[6] B. C. Dhage, S. N. Salunkhe and R. U. Verma, A neutral functional differential equation in Banach Algebras. Math. Sci. Resarch. J. 9(4) (2005), 101-113.
[7] Salunkhe S. N., Timol M. G. – Positivity Results ForFunctional Differential Equations on Unbounded Intervals.VNSGU Journal of Science and Technology V1(2)- (2009),161-168.
[8] J.K.Hale,Theory of functional differential equations, Springer Verlag,New York, 19677.
[9] J.Henderson, Boundary value problems for functional differential equations, World Scientific, Singapore, 1995.

Citation :

S.N.SALUNKHE, "Approximation Method for Hybrid Functional Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 6, pp. 21-25, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I6P504

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved