Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic -contraction
Apstrakt
We establish the existence and uniqueness of solutions for a class of nonlinear Volterra integral and integro-differential equations using fixed-point theorems for a new variant of cyclic -contractive mappings. Nontrivial examples are given to support the usability of our results.
Ključne reči:
metric space / integral equation / fixed point / differential equation / cyclic contractionIzvor:
Advances in Difference Equations, 2013Izdavač:
- Springer International Publishing Ag, Cham
Finansiranje / projekti:
- Higher Education Research Promotion and National Research University Project of Thailand, Office of the Higher Education Commission (NRU-SCEC) [NRU56000508]
DOI: 10.1186/1687-1847-2013-106
ISSN: 1687-1847
WoS: 000319425800001
Scopus: 2-s2.0-84888880022
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Nashine, Hemant Kumar AU - Pathak, R. P. AU - Somvanshi, Piyusha S. AU - Pantelić, Slaviša AU - Kumam, Poom PY - 2013 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1663 AB - We establish the existence and uniqueness of solutions for a class of nonlinear Volterra integral and integro-differential equations using fixed-point theorems for a new variant of cyclic -contractive mappings. Nontrivial examples are given to support the usability of our results. PB - Springer International Publishing Ag, Cham T2 - Advances in Difference Equations T1 - Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic -contraction DO - 10.1186/1687-1847-2013-106 ER -
@article{ author = "Nashine, Hemant Kumar and Pathak, R. P. and Somvanshi, Piyusha S. and Pantelić, Slaviša and Kumam, Poom", year = "2013", abstract = "We establish the existence and uniqueness of solutions for a class of nonlinear Volterra integral and integro-differential equations using fixed-point theorems for a new variant of cyclic -contractive mappings. Nontrivial examples are given to support the usability of our results.", publisher = "Springer International Publishing Ag, Cham", journal = "Advances in Difference Equations", title = "Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic -contraction", doi = "10.1186/1687-1847-2013-106" }
Nashine, H. K., Pathak, R. P., Somvanshi, P. S., Pantelić, S.,& Kumam, P.. (2013). Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic -contraction. in Advances in Difference Equations Springer International Publishing Ag, Cham.. https://doi.org/10.1186/1687-1847-2013-106
Nashine HK, Pathak RP, Somvanshi PS, Pantelić S, Kumam P. Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic -contraction. in Advances in Difference Equations. 2013;. doi:10.1186/1687-1847-2013-106 .
Nashine, Hemant Kumar, Pathak, R. P., Somvanshi, Piyusha S., Pantelić, Slaviša, Kumam, Poom, "Solutions for a class of nonlinear Volterra integral and integro-differential equation using cyclic -contraction" in Advances in Difference Equations (2013), https://doi.org/10.1186/1687-1847-2013-106 . .