Existence of solutions to quasilinear functional differential equations
In this article we use the theory of C0-semigroup of bounded linear operators to establish the existence and uniqueness of a classical solution to a quasilinear functional differential equation considered in a Banach space.
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| Format: | Article |
| Language: | English |
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Texas State University
2009-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/164/abstr.html |
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Article |
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doaj-63bf20fa3fc849d3bbbe69f6460131d92020-11-25T02:27:45ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-12-012009164,18Existence of solutions to quasilinear functional differential equationsSyed AbbasDhirendra BahugunaIn this article we use the theory of C0-semigroup of bounded linear operators to establish the existence and uniqueness of a classical solution to a quasilinear functional differential equation considered in a Banach space. http://ejde.math.txstate.edu/Volumes/2009/164/abstr.htmlC0-semigroupquasilinear differential equationmild solution |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Syed Abbas Dhirendra Bahuguna |
| spellingShingle |
Syed Abbas Dhirendra Bahuguna Existence of solutions to quasilinear functional differential equations Electronic Journal of Differential Equations C0-semigroup quasilinear differential equation mild solution |
| author_facet |
Syed Abbas Dhirendra Bahuguna |
| author_sort |
Syed Abbas |
| title |
Existence of solutions to quasilinear functional differential equations |
| title_short |
Existence of solutions to quasilinear functional differential equations |
| title_full |
Existence of solutions to quasilinear functional differential equations |
| title_fullStr |
Existence of solutions to quasilinear functional differential equations |
| title_full_unstemmed |
Existence of solutions to quasilinear functional differential equations |
| title_sort |
existence of solutions to quasilinear functional differential equations |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2009-12-01 |
| description |
In this article we use the theory of C0-semigroup of bounded linear operators to establish the existence and uniqueness of a classical solution to a quasilinear functional differential equation considered in a Banach space. |
| topic |
C0-semigroup quasilinear differential equation mild solution |
| url |
http://ejde.math.txstate.edu/Volumes/2009/164/abstr.html |
| work_keys_str_mv |
AT syedabbas existenceofsolutionstoquasilinearfunctionaldifferentialequations AT dhirendrabahuguna existenceofsolutionstoquasilinearfunctionaldifferentialequations |
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1724840971139547136 |