Controllability of semilinear differential equations and inclusions via semigroup theory in banach spaces

Control problems appear in many branches of physics and technical science. In this paper we investigate the controllability of semilinear differential equations and inclusions via the semigroup theory in Banach spaces. All results are obtained by using fixed point theorems both for single and multivalued mappings.

[2]  Rathinasamy Sakthivel,et al.  Controllability result for nonlinear evolution integrodifferential systems , 2004, Appl. Math. Lett..

[3]  CONTROLLABILITY OF SOBOLEV-TYPE SEMILINEAR INTEGRODIFFERENTIAL SYSTEMS IN BANACH SPACES , 1999 .

[4]  J. Goldstein.  Semigroups of Linear Operators and Applications , 1985 .

[5]  W. Arendt.  Vector-valued laplace transforms and cauchy problems , 2002 .

[6]  Rathinasamy Sakthivel,et al.  Controllability of semilinear functional integrodifferential systems in Banach spaces , 2000, Kybernetika.

[7]  C. Travis,et al.  An abstract second order semi-linear Volterra integrodi er-ential equation , 1979 .

[8]  Amnon Pazy,et al.  Semigroups of Linear Operators and Applications to Partial Differential Equations , 1992, Applied Mathematical Sciences.

[9]  Rathinasamy Sakthivel,et al.  Controllability of integrodifferential systems in Banach spaces , 2001, Appl. Math. Comput..

[10]  Alberto Bressan,et al.  Extensions and selections of maps with decomposable values , 1988 .

[11]  Krishnan Balachandran,et al.  Controllability of neutral functional integrodifferential systems in Banach spaces , 2000 .

[12]  R. Sakthivel,et al.  Controllability of nonlinear neutral evolution integrodifferential systems , 2002 .

[13]  Bing Liu,et al.  Controllability of impulsive neutral functional differential inclusions with infinite delay , 2005 .

[14]  Krishnan Balachandran,et al.  A NOTE ON CONTROLLABILITY OF SEMILINEAR INTEGRODIFFERENTIAL SYSTEMS IN BANACH SPACES , 2000 .

[15]  C. Travis,et al.  Existence and stability for partial functional differential equations , 1974 .

[16]  H. Fattorini.  Second Order Linear Differential Equations in Banach Spaces , 1985 .

[17]  V. Lakshmikantham,et al.  Monotone Iterative Techniques for Discontinuous Nonlinear Differential Equations , 1994 .

[18]  B. Liu.  Controllability of Neutral Functional Differential and Integrodifferential Inclusions with Infinite Delay , 2004 .

[19]  C. Travis,et al.  Cosine families and abstract nonlinear second order differential equations , 1978 .

[20]  Krishnan Balachandran,et al.  Controllability of second-order semilinear neutral functional differential systems in Banach spaces , 2001 .

[21]  Controllability of second order semilinear ordinary differential systems in Banach spaces , 1999 .

[22]  G. Prato,et al.  Differential operators with non dense domain , 1987 .

[23]  Jong Yeoul Park,et al.  Controllability of second-order neutral functional differential inclusions in Banach spaces , 2003 .

[24]  Controllability of the second-order differential inclusion in Banach spaces , 2003 .

[25]  B. Liu.  Controllability of Nonlinear Neutral Evolution Integrodifferential Systems with Infinite Delay , 2004 .

[26]  Krishnan Balachandran,et al.  Controllability of Functional Semilinear Integrodifferential Systems in Banach Spaces , 2001 .