We considering the problem of solving a nonlinear differential equation in the Banach space of real functions and continuous on a bounded and closed interval. By means of the fixed point theory for a strict set contraction operator, this paper investigates the existence, nonexistence, and multiplicity of positive solutions for a nonlinear higher order boundary value problem.
| Published in | Mathematics and Computer Science (Volume 2, Issue 4) |
| DOI | 10.11648/j.mcs.20170204.13 |
| Page(s) | 47-50 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2017. Published by Science Publishing Group |
Positive Solutions, Fixed-Point Theorem, Operator Equations, Banach Space
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APA Style
Mohamed Seddeek, Sayeda Nabhan Odda. (2017). On the Existence of Positive Solution for nth Order Differential Equation for Boundary Value Problems. Mathematics and Computer Science, 2(4), 47-50. https://doi.org/10.11648/j.mcs.20170204.13
ACS Style
Mohamed Seddeek; Sayeda Nabhan Odda. On the Existence of Positive Solution for nth Order Differential Equation for Boundary Value Problems. Math. Comput. Sci. 2017, 2(4), 47-50. doi: 10.11648/j.mcs.20170204.13
AMA Style
Mohamed Seddeek, Sayeda Nabhan Odda. On the Existence of Positive Solution for nth Order Differential Equation for Boundary Value Problems. Math Comput Sci. 2017;2(4):47-50. doi: 10.11648/j.mcs.20170204.13
@article{10.11648/j.mcs.20170204.13,
author = {Mohamed Seddeek and Sayeda Nabhan Odda},
title = {On the Existence of Positive Solution for nth Order Differential Equation for Boundary Value Problems},
journal = {Mathematics and Computer Science},
volume = {2},
number = {4},
pages = {47-50},
doi = {10.11648/j.mcs.20170204.13},
url = {https://doi.org/10.11648/j.mcs.20170204.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mcs.20170204.13},
abstract = {We considering the problem of solving a nonlinear differential equation in the Banach space of real functions and continuous on a bounded and closed interval. By means of the fixed point theory for a strict set contraction operator, this paper investigates the existence, nonexistence, and multiplicity of positive solutions for a nonlinear higher order boundary value problem.},
year = {2017}
}
TY - JOUR T1 - On the Existence of Positive Solution for nth Order Differential Equation for Boundary Value Problems AU - Mohamed Seddeek AU - Sayeda Nabhan Odda Y1 - 2017/07/31 PY - 2017 N1 - https://doi.org/10.11648/j.mcs.20170204.13 DO - 10.11648/j.mcs.20170204.13 T2 - Mathematics and Computer Science JF - Mathematics and Computer Science JO - Mathematics and Computer Science SP - 47 EP - 50 PB - Science Publishing Group SN - 2575-6028 UR - https://doi.org/10.11648/j.mcs.20170204.13 AB - We considering the problem of solving a nonlinear differential equation in the Banach space of real functions and continuous on a bounded and closed interval. By means of the fixed point theory for a strict set contraction operator, this paper investigates the existence, nonexistence, and multiplicity of positive solutions for a nonlinear higher order boundary value problem. VL - 2 IS - 4 ER -