Generalized Quasilinearization Using Coupled Lower and Upper Solutions for Periodic Boundary Value Problem of an Integro Differential Equation

Authors

  • Chaduvula Venkata Sreedhar Ch V Sreedhar, Assistant professor, Department Of Mathematics, Gayatri Vidya Parishad College of Engineering (A), Madhurawada, Visakhapatnam
  • J. Vasundhara Devi

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i4.3529

Keywords:

periodic boundary value problem(PBVP), integro dierential equation, coupled lower and upper solutions, existence, quasilinearization.

Abstract

In this paper we rst develop the method of generalized quasilinearization for initial
value problem of an integro dierential equation and then use it to develop quasilinearization for the periodic boundary value problem of the integro dierential equation by using the coupled lower and upper solutions of Type-I.

Author Biography

  • Chaduvula Venkata Sreedhar, Ch V Sreedhar, Assistant professor, Department Of Mathematics, Gayatri Vidya Parishad College of Engineering (A), Madhurawada, Visakhapatnam
    Assistant Professor, Department of Mathemaitcs,

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Published

2019-10-31

Issue

Vol. 12 No. 4: (October 2019)

Section

Nonlinear Analysis

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How to Cite

Generalized Quasilinearization Using Coupled Lower and Upper Solutions for Periodic Boundary Value Problem of an Integro Differential Equation. (2019). European Journal of Pure and Applied Mathematics, 12(4), 1662-1675. https://doi.org/10.29020/nybg.ejpam.v12i4.3529