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      EXISTENCE OF PERIODIC SOLUTIONS WITH PRESCRIBED MINIMAL PERIOD FOR A FOURTH ORDER NONLINEAR DIFFERENCE SYSTEM

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      https://www.riss.kr/link?id=A105917337

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      다국어 초록 (Multilingual Abstract)

      In this article, we consider a fourth order nonlinear dierence system. By making use of the critical point theory, we obtain some new existence theorems of at least one periodic solution with minimal period. Our main approach used in this article is ...

      In this article, we consider a fourth order nonlinear dierence system. By making use of the critical point theory, we obtain some new existence theorems of at least one periodic solution with minimal period.
      Our main approach used in this article is the variational technique and the Saddle Point Theorem.

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      참고문헌 (Reference)

      1 H. Yaldiz, "s-convex functions on discrete time domains" 37 (37): 179-184, 2017

      2 Y. Domshlak, "The third and fourth order linear difference equations near periodic critical states: sharp results in oscillation theory" 7 (7): 551-575, 2001

      3 J. S. Yu, "Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation" 16 (16): 575-586, 2004

      4 H. Zhou, "Solvability for fractional p-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval" 53 (53): 51-76, 2017

      5 T. S. He, "Sign-changing solutions for resonant Neumann problems" 454 (454): 659-672, 2017

      6 Q. Yao, "Positive solutions of a nonlinear elastic beam equation rigidly fastened on the left and simply supported on the right" 69 (69): 1570-1580, 2008

      7 R. P. Agarwal, "Positive Solutions of Differential, Difference and Integral Equations" Kluwer Academic 1999

      8 T. S. He, "Periodic solutions of second order discrete convex systems involving the p-Laplacian" 206 (206): 124-132, 2008

      9 X. Liu, "Periodic solutions for fourth-order nonlinear functional difference equations" 38 (38): 1-10, 2014

      10 M. H. Huang, "On the existence of ground state solutions of the periodic discrete coupled nonlinear Schrodinger lattice" 2013 : 1-8, 2013

      1 H. Yaldiz, "s-convex functions on discrete time domains" 37 (37): 179-184, 2017

      2 Y. Domshlak, "The third and fourth order linear difference equations near periodic critical states: sharp results in oscillation theory" 7 (7): 551-575, 2001

      3 J. S. Yu, "Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation" 16 (16): 575-586, 2004

      4 H. Zhou, "Solvability for fractional p-Laplacian differential equations with multipoint boundary conditions at resonance on infinite interval" 53 (53): 51-76, 2017

      5 T. S. He, "Sign-changing solutions for resonant Neumann problems" 454 (454): 659-672, 2017

      6 Q. Yao, "Positive solutions of a nonlinear elastic beam equation rigidly fastened on the left and simply supported on the right" 69 (69): 1570-1580, 2008

      7 R. P. Agarwal, "Positive Solutions of Differential, Difference and Integral Equations" Kluwer Academic 1999

      8 T. S. He, "Periodic solutions of second order discrete convex systems involving the p-Laplacian" 206 (206): 124-132, 2008

      9 X. Liu, "Periodic solutions for fourth-order nonlinear functional difference equations" 38 (38): 1-10, 2014

      10 M. H. Huang, "On the existence of ground state solutions of the periodic discrete coupled nonlinear Schrodinger lattice" 2013 : 1-8, 2013

      11 Z. Zhou, "Multiplicity results of breathers for the discrete nonlinear Schrodinger equations with unbounded potentials" 58 (58): 781-790, 2015

      12 A. Cabada, "Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities" 37 (37): 518-533, 2010

      13 C. J. Guo, "Moment stability for nonlinear stochastic growth kinetics of breast cancer stem cells with time-delays" 21 (21): 2473-2489, 2016

      14 Z. Dosla, "Minimal and maximal solutions of fourth-order nonlinear difference equations" 21 (21): 255-268, 2015

      15 P. Chen, "Infinitely many solutions for a class of fractional Hamiltonian systems via critical point theory" 39 (39): 1005-1019, 2016

      16 Z. Zhou, "Homoclinic solutions in periodic difference equations with saturable nonlinearity" 54 (54): 83-93, 2011

      17 H. P. Shi, "Homoclinic solutions for a class of fourth-order difference equations" 39 (39): 2617-2625, 2016

      18 M. H. Huang, "Ground state solutions of the periodic discrete coupled nonlinear Schrodinger equations" 38 (38): 1682-1695, 2015

      19 X. H. Tang, "Ground state solutions of Nehari-Pohozaev type for Schrodinger-Poisson problems with general potentials" 37 (37): 4973-5002, 2017

      20 X. H. Tang, "Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials" 56 (56): 110-134, 2017

      21 C. J. Guo, "Existence of periodic solutions for a class of second-order superquadratic delay differential equations" 21 (21): 405-419, 2014

      22 C.J. Guo, "Existence of periodic solutions for a class of second order differential equation with deviating argument" 28 (28): 425-433, 2008

      23 P. Chen, "Existence of periodic and subharmonic solutions for second-order p-Laplacian difference equations" 2007 : 1-9, 2007

      24 C. J. Guo, "Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems" 34 (34): 27-41, 2015

      25 L. W. Yang, "Existence of homoclinic orbits for fourth-order p-Laplacian difference equations" 27 (27): 879-892, 2016

      26 H. Zhou, "Existence of almost periodic solution for neutral Nicholson blow ies model" 2017 (2017): 1-13, 2017

      27 X. M. Zhang, "Existence and uniqueness of solutions for stochastic differential equations of fractional-order q > 1 with finite delays" 2017 (2017): 1-18, 2017

      28 G. Marek, "Existence and multiplicity of solutions to discrete inclusions with the p(k)-Laplacian problem" 21 (21): 887-903, 2015

      29 P. Chen, "Existence and multiplicity of homoclinic solutions for second-order nonlinear difference equations with Jacobi operators" 39 (39): 5705-5719, 2016

      30 C. D. Ahlbrandt, "Discrete Hamiltonian Systems: Difference Equations, Continued Fraction and Riccati Equations" Kluwer Academic Publishers 1996

      31 J. Mawhin, "Critical Point Theory and Hamiltonian Systems" Springer 1989

      32 T. S. He, "Constant-sign and sign-changing solutions for the Sturm-Liouville boundary value problems" 179 (179): 41-55, 2016

      33 Raafat Abo-Zeid, "Behavior of Solutions of a Fourth Order Difference Equation" 경북대학교 자연과학대학 수학과 56 (56): 507-516, 2016

      34 K. M. Saad, "An effective homotopy analysis method to solve the cubic isothermal auto-catalytic chemical system" 3 (3): 183-194, 2018

      35 M. Ruzhansky, "Advances in Real and Complex Analysis with Applications" Birkhauser 2017

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      학술지 이력

      학술지 이력
      연월일 이력구분 이력상세 등재구분
      2026 평가예정 재인증평가 신청대상 (재인증)
      2020-01-01 평가 등재학술지 유지 (재인증) KCI등재
      2019-11-08 학회명변경 영문명 : The Korean Society For Computational & Applied Mathematics And Korean Sigcam -> Korean Society for Computational and Applied Mathematics KCI등재
      2017-01-01 평가 등재학술지 유지 (계속평가) KCI등재
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      2008-02-18 학술지명변경 한글명 : Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Informatics
      외국어명 : Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Informatics
      KCI등재
      2008-02-15 학술지명변경 한글명 : Journal of Applied Mathematics and Computing(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.)
      외국어명 : Journal of Applied Mathematics and Computing(Former: Korean J. of Comput. and Appl. Math.) -> Journal of Applied Mathematics and Infomatics(Former: Korean J. of Comput. and Appl. Math.)
      KCI등재
      2008-01-01 평가 등재학술지 유지 (등재유지) KCI등재
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      2001-01-01 평가 등재학술지 선정 (등재후보2차) KCI등재
      1998-07-01 평가 등재후보학술지 선정 (신규평가) KCI등재후보
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      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 0.16 0.16 0.13
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.1 0.07 0.312 0.02
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