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      CONTROLLABILITY RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL SYSTEMS

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      https://www.riss.kr/link?id=A60196263

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      다국어 초록 (Multilingual Abstract)

      In this paper, we consider the controllability of a certain class of impulsive neutral evolution differential equations in Banach spaces. Sufficient conditions for controllability are obtained by using the Hausdorff measure of noncompactness and Monch...

      In this paper, we consider the controllability of a certain class of impulsive neutral evolution differential equations in Banach spaces. Sufficient conditions for controllability are obtained by using the Hausdorff measure of noncompactness and Monch fixed point theorem under the assumption of noncompactness of the evolution system.

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      목차 (Table of Contents)

      • ABSTRACT
      • 1. INTRODUCTION
      • 2. PRELIMINARIES
      • 3. CONTROLLABILITY RESULTS
      • 4. ACKNOWLEDGEMENTS
      • ABSTRACT
      • 1. INTRODUCTION
      • 2. PRELIMINARIES
      • 3. CONTROLLABILITY RESULTS
      • 4. ACKNOWLEDGEMENTS
      • REFERENCES
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      참고문헌 (Reference)

      1 V. Lakshmikantham, "Theory of Impulsive Differential Equations" World Scientific 1989

      2 J. Wu, "Theory and Applications of Partial Functional Differential Equations" Springer 1996

      3 C. Cuevas, "The existence of solutions for impulsive neutral functional differential equations" 58 : 744-757, 2009

      4 A. Pazy, "Semigroups of Linear Operators and Applications to Partial Differential Equations" Springer-Verlag 1983

      5 J. K. Hale, "Phase space for retarded equations with infinite delay" 21 : 11-41, 1978

      6 J. Banas, "Measures of Noncompactness in Banach Spaces" Marcel Dekker 1980

      7 V. Kolmanovskii, "Introduction to the Theory and Applications of Functional Differential Equations" Kluwer 1999

      8 D.D. Bainov, "Impulsive Differential Equations: Periodic Solutions and Applications" Longman Scientific and Technical Group 1993

      9 A. M. Samoilenko, "Impulsive Differential Equations" World Scientific 1995

      10 Y. K. Chang, "Existence results for impulsive neutral functional differential equations with infinite delay" 2 : 209-218, 2008

      1 V. Lakshmikantham, "Theory of Impulsive Differential Equations" World Scientific 1989

      2 J. Wu, "Theory and Applications of Partial Functional Differential Equations" Springer 1996

      3 C. Cuevas, "The existence of solutions for impulsive neutral functional differential equations" 58 : 744-757, 2009

      4 A. Pazy, "Semigroups of Linear Operators and Applications to Partial Differential Equations" Springer-Verlag 1983

      5 J. K. Hale, "Phase space for retarded equations with infinite delay" 21 : 11-41, 1978

      6 J. Banas, "Measures of Noncompactness in Banach Spaces" Marcel Dekker 1980

      7 V. Kolmanovskii, "Introduction to the Theory and Applications of Functional Differential Equations" Kluwer 1999

      8 D.D. Bainov, "Impulsive Differential Equations: Periodic Solutions and Applications" Longman Scientific and Technical Group 1993

      9 A. M. Samoilenko, "Impulsive Differential Equations" World Scientific 1995

      10 Y. K. Chang, "Existence results for impulsive neutral functional differential equations with infinite delay" 2 : 209-218, 2008

      11 K. Balachandran, "Existence results for impulsive neutral evolution integrodifferential equations with infinite delay" 3 : 674-684, 2009

      12 E. Hernandez M., "Existence of solutions for impulsive partial neutral functional differential equations" 331 : 1135-1158, 2007

      13 R. Ye, "Existence of solutions for impulsive partial neutral functional differential equation with infinite delay" 73 : 155-162, 2010

      14 C.Travis, "Existence and stability for partial functional differential equations" 200 : 395-418, 1974

      15 B. Radhakrishnan, "Controllability results for semilinear impulsive integrodifferential evolution systems with nonlocal conditions" 10 (10): 28-34, 2012

      16 Y. K. Chang, "Controllability of semilinear differential systems with nonlocal initial conditions in Banach spaces" 142 : 267-273, 2009

      17 J. Wang, "Controllability of integrodifferential systems with nonlocal initial conditions in Banach spaces" 3 : 459-465, 2011

      18 J. Y. Park, "Controllability of impulsive neutral integrodifferential systems with infinite delay in Banach spaces" 3 : 184-194, 2009

      19 B. Radhakrishnan, "Controllability of impulsive neutral functional evolution integrodifferential systems with infinite delay" 5 : 655-670, 2011

      20 M. Guo, "Controllability of impulsive evolution inclusions with nonlocal conditions" 120 : 355-374, 2004

      21 S. Ji, "Controllability of impulsive differential systems with nonlocal conditions" 217 : 6981-6989, 2011

      22 Y. K. Chang, "Controllability of evolution differential inclusions in Banach spaces" 67 : 623-632, 2007

      23 X. Fu, "Controllability of abstract neutral functional differential systems with unbounded delay" 151 : 299-314, 2004

      24 V. Obukhovski, "Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup" 70 : 3424-3436, 2009

      25 I. Benedetti, "Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator" 31 : 1-31, 2011

      26 Y. C. Liou, "Controllability for a class of degenerate functional differential inclusions in a Banach space" 12 : 2179-2200, 2008

      27 M. Kamenskii, "Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces" De Gruyter 2001

      28 B. Yan, "Boundary value problems on the half-line with impulses and infinite delay" 259 : 94-114, 2001

      29 H. Monch, "Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces" 4 : 985-999, 1980

      30 V. Kolmanovskii, "Applied Theory of Functional Differential Equations" Kluwer 1992

      31 G. Webb, "An abstract semilinear Volterra integrodifferential equations" 69 : 255-260, 1978

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