Zobrazeno 1 - 10
of 22
pro vyhledávání: '"T. Sengadir"'
Autor:
D. Piriadarshani, T. Sengadir
Publikováno v:
Journal of Applied Mathematics, Vol 2012 (2012)
A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
Externí odkaz:
https://doaj.org/article/f7005d22e4024411ba69191bf0b345ac
Autor:
G Divyabharathi, T Sengadir
Publikováno v:
Proceedings - Mathematical Sciences. 132
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8b78000659f0f4b8600a0eadca77696
https://doi.org/10.1007/s12044-022-00668-5
https://doi.org/10.1007/s12044-022-00668-5
Autor:
T. Sengadir, G Divyabharathi
Publikováno v:
Proceedings - Mathematical Sciences. 129
In this paper, we prove the existence of solutions to nonlinear differential equations with infinite delay in Banach spaces. We construct a Frechet space and the unique solutions are given by semigroups in this Frechet space. Applications to partial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d053b5efd5df5a9dfcd6513e43b6e500
https://doi.org/10.1007/s12044-019-0519-3
https://doi.org/10.1007/s12044-019-0519-3
Autor:
T. Sengadir, D. Piriadarshani
Publikováno v:
Differential Equations & Applications. :313-331
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d5bacee268935acbb88e913301b2e67d
https://doi.org/10.7153/dea-07-18
https://doi.org/10.7153/dea-07-18
Autor:
T. Sengadir, D. Piriadarshani
Publikováno v:
Differential Equations and Dynamical Systems. 20:17-34
In this paper, existence, uniqueness results for a solution to a neutral differential equation with infinite delay are obtained. Numerical solutions converging to the actual solution is computed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::23c6b012e417de21efe29beb3394aef9
https://doi.org/10.1007/s12591-011-0100-8
https://doi.org/10.1007/s12591-011-0100-8
Autor:
T. Sengadir
Publikováno v:
Mathematics of Computation. 76:777-793
In this paper, a Banach phase space containing BC(-∞,0] and contained in C(-∞,0] is defined with which existence of a solution and convergence of a discrete scheme are proved for an infinite delay differential equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95106ee8e6b1d4473577ece27c784e35
https://doi.org/10.1090/s0025-5718-06-01942-9
https://doi.org/10.1090/s0025-5718-06-01942-9
Autor:
T. Sengadir
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 28:1997-2003
In this paper, we study asymptotic stability of solutions of the following functional differential equation: x'(t) = a(t)x(t) + b(t)x(p(t)) + f ( t , x(t), x(p(t))) x(O) = xo. (1) Here a,b : [0, oo) ~ C, f : [0, oo) × C × C ~ C are continuous funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7a7f320d3cf1e063bba0ffb9fe0020a
https://doi.org/10.1016/s0362-546x(96)00029-6
https://doi.org/10.1016/s0362-546x(96)00029-6
Autor:
T. Sengadir
Publikováno v:
Journal of Mathematical Analysis and Applications. 197:890-907
Existence and stability results for a class of nonlinear functional differential equations which contains the generalised pantograph equation as a special case are obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b688498f95ced63165e1ab9eb422af5b
https://doi.org/10.1006/jmaa.1996.0060
https://doi.org/10.1006/jmaa.1996.0060
Autor:
T. Sengadir, D. Piriadarshani
Publikováno v:
Journal of Applied Mathematics, Vol 2012 (2012)
J. Appl. Math.
J. Appl. Math.
A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5624e492375eb635a61b47a33137590
Autor:
T. Sengadir, A.K. Pani
Publikováno v:
Bulletin of the Australian Mathematical Society. 50:251-264
In this paper, existence results for both integro-differential and functional differential equations are discussed using topological transversality arguments. As applications, third and fourth order boundary value problems are considered. For third o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::91ab07b6e151e9ed01dc1667c90f405c
https://doi.org/10.1017/s000497270001371x
https://doi.org/10.1017/s000497270001371x