A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations
Joint Authors
Mehravaran, H.
Khanehgir, M.
Allahyari, R.
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study a new family of measures of noncompactness in the locally Sobolev space Wlocn,1(R+N), equipped with a suitable topology.
As an application of the technique associated with this family of measures of noncompactness, we study the existence of solutions for a class of nonlinear Volterra integrodifferential equations.
Further, we give an illustrative example to verify the effectiveness and applicability of our results.
American Psychological Association (APA)
Mehravaran, H.& Khanehgir, M.& Allahyari, R.. 2018. A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations. Journal of Mathematics،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1193563
Modern Language Association (MLA)
Mehravaran, H.…[et al.]. A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations. Journal of Mathematics No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1193563
American Medical Association (AMA)
Mehravaran, H.& Khanehgir, M.& Allahyari, R.. A Family of Measures of Noncompactness in the Locally Sobolev Spaces and Its Applications to Some Nonlinear Volterra Integrodifferential Equations. Journal of Mathematics. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1193563
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1193563
