Boundary value problem for an infinite system of second order differential equations in ℓ p spaces

Ishfaq Ahmad Malik; Tanweer Jalal

Mathematica Bohemica (2020)

  • Volume: 145, Issue: 2, page 191-204
  • ISSN: 0862-7959

Abstract

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The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in ℓ p space. We change the boundary value problem into an equivalent system of infinite integral equations and result is obtained by using Darbo’s type fixed point theorem. The result is illustrated with help of an example.

How to cite

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Malik, Ishfaq Ahmad, and Jalal, Tanweer. "Boundary value problem for an infinite system of second order differential equations in $\ell _{p}$ spaces." Mathematica Bohemica 145.2 (2020): 191-204. <http://eudml.org/doc/297358>.

@article{Malik2020,
abstract = {The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in $\ell _\{p\}$ space. We change the boundary value problem into an equivalent system of infinite integral equations and result is obtained by using Darbo’s type fixed point theorem. The result is illustrated with help of an example.},
author = {Malik, Ishfaq Ahmad, Jalal, Tanweer},
journal = {Mathematica Bohemica},
keywords = {Darbo's fixed point theorem; equicontinuous sets; infinite system of second order differential equations; infinite system of integral equations; measures of noncompactness},
language = {eng},
number = {2},
pages = {191-204},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Boundary value problem for an infinite system of second order differential equations in $\ell _\{p\}$ spaces},
url = {http://eudml.org/doc/297358},
volume = {145},
year = {2020},
}

TY - JOUR
AU - Malik, Ishfaq Ahmad
AU - Jalal, Tanweer
TI - Boundary value problem for an infinite system of second order differential equations in $\ell _{p}$ spaces
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 2
SP - 191
EP - 204
AB - The concept of measures of noncompactness is applied to prove the existence of a solution for a boundary value problem for an infinite system of second order differential equations in $\ell _{p}$ space. We change the boundary value problem into an equivalent system of infinite integral equations and result is obtained by using Darbo’s type fixed point theorem. The result is illustrated with help of an example.
LA - eng
KW - Darbo's fixed point theorem; equicontinuous sets; infinite system of second order differential equations; infinite system of integral equations; measures of noncompactness
UR - http://eudml.org/doc/297358
ER -

References

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