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      $S$-asymptotically $\omega$-periodic mild solutions for the systems of differential equations with piecewise constant argument in Banach space

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      https://www.riss.kr/link?id=A105104119

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      다국어 초록 (Multilingual Abstract)

      By using of the Banach fixed point theorem, the theory of a strongly continuous semigroup of operators and resolvent operator, we investigate the existence and uniqueness of $S$-asymptotically $\omega$-periodic mild solutions for some differential (integrodifferential) equations with piecewise constant argument when specially $\omega$ is an integer.
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      By using of the Banach fixed point theorem, the theory of a strongly continuous semigroup of operators and resolvent operator, we investigate the existence and uniqueness of $S$-asymptotically $\omega$-periodic mild solutions for some differential (in...

      By using of the Banach fixed point theorem, the theory of a strongly continuous semigroup of operators and resolvent operator, we investigate the existence and uniqueness of $S$-asymptotically $\omega$-periodic mild solutions for some differential (integrodifferential) equations with piecewise constant argument when specially $\omega$ is an integer.

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      참고문헌 (Reference)

      1 장현호, "The existence of S-asymptotically w-periodic mild solutions for some differential equation with nonlocal conditions" 대한수학회 32 (32): 457-466, 2017

      2 W. Desch, "Some consideration for linear integro-differential equations" 104 : 219-234, 1984

      3 A. Pazy, "Semigroups of linear operators and applications to partial differential equations" Springer-Verlag 1983

      4 W. Dimbour, "S-asymtotically ${\omega}$-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space" 16 : 55-65, 2014

      5 K. L. Cooke, "Retarded differential equations with piecewise constant delays" 99 : 265-297, 1984

      6 P. Daxiong, "Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument" 44 : 1156-1161, 2001

      7 J. V. Minh, "On the almost automorphy of bounded solutions of differential equations with piecewise constant argument" 326 : 165-178, 2007

      8 H. R. Henriquez, "On S-asymtotically ${\omega}$-periodic function on Banach spaces and applications" 343 : 1119-1130, 2008

      9 M. Akhmet, "Nonlinear Hybrid Continuous/Discrete-Time Models" Atlantis press 2011

      10 S. Busenberg, "Model of vertically transmitted diseases with sequential-continuous dynamics, Nonlinear Phenonmena in Mathematical Sciences" Academic Press 1982

      1 장현호, "The existence of S-asymptotically w-periodic mild solutions for some differential equation with nonlocal conditions" 대한수학회 32 (32): 457-466, 2017

      2 W. Desch, "Some consideration for linear integro-differential equations" 104 : 219-234, 1984

      3 A. Pazy, "Semigroups of linear operators and applications to partial differential equations" Springer-Verlag 1983

      4 W. Dimbour, "S-asymtotically ${\omega}$-periodic solution for a nonlinear differential equation with piecewise constant argument in a Banach space" 16 : 55-65, 2014

      5 K. L. Cooke, "Retarded differential equations with piecewise constant delays" 99 : 265-297, 1984

      6 P. Daxiong, "Pseudo almost periodic solutions for the systems of differential equations with piecewise constant argument" 44 : 1156-1161, 2001

      7 J. V. Minh, "On the almost automorphy of bounded solutions of differential equations with piecewise constant argument" 326 : 165-178, 2007

      8 H. R. Henriquez, "On S-asymtotically ${\omega}$-periodic function on Banach spaces and applications" 343 : 1119-1130, 2008

      9 M. Akhmet, "Nonlinear Hybrid Continuous/Discrete-Time Models" Atlantis press 2011

      10 S. Busenberg, "Model of vertically transmitted diseases with sequential-continuous dynamics, Nonlinear Phenonmena in Mathematical Sciences" Academic Press 1982

      11 H. R. Henriquez, "Existence of S-asymptotically $\omega$-periodic solutions for abstract neutral equations" 78 : 365-382, 2008

      12 Y. Hino, "Equations with Infinite Delay, Lecture Notes in Math. 1473, Functional Dierential" Springer-Verlag 1991

      13 Hyun Mork Lee, "EXITSENCE OF MILD SOLUTIONS FOR SEMILINEAR MIXED VOLTERRA-FREDHOLM FUNCTIONAL INTEGRODIFFERENTIAL EQUATIONS WITH NONLOCALS" 충청수학회 28 (28): 365-375, 2015

      14 A. Caicedo, "Asymtotic periodicity for a class of partial integrodifferential equations" 2011 : 18-, 2011

      15 H. S. Ding, "Asymptotically almost automorphic solutions for some integrodifferential equations with nonlocal initial conditions" 338 : 141-151, 2008

      16 W. Dimbour, "Asymptotically Antiperiodic Solutions for a Nonlinear Differential Equation with Piecewise Constant Argument in a Banach Space" 7 : 1726-1733, 2016

      17 T. Diagana, "Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces" Springer International Publishing 2013

      18 M. Shah, "Advanced differential equations with piecewise constant argument deviations" 6 : 671-703, 1983

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      2021-01-01 평가 등재학술지 유지 (재인증) KCI등재
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