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    KCI등재

    EXISTENCE THEOREMS OF BOUNDARY VALUE PROBLEMS FOR FOURTH ORDER NONLINEAR DISCRETE SYSTEMS

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    https://www.riss.kr/link?id=A106369294

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    다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

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    한국어
    In the manuscript, we concern with the existence of solutions of boundary value problems for fourth order nonlinear discrete systems. Some criteria for the existence of at least one nontrivial solution of the problem are obtained. The proof is mainly based upon the variational method and critical point theory. An example is presented to illustrate the main result.
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    In the manuscript, we concern with the existence of solutions of boundary value problems for fourth order nonlinear discrete systems. Some criteria for the existence of at least one nontrivial solution of the problem are obtained. The proof is mainly ...

    In the manuscript, we concern with the existence of solutions of boundary value problems for fourth order nonlinear discrete systems. Some criteria for the existence of at least one nontrivial solution of the problem are obtained. The proof is mainly based upon the variational method and critical point theory. An example is presented to illustrate the main result.

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    참고문헌 (Reference)

    1 C. J. Guo, "Stability analysis of mathematical models for nonlinear growth kinetics of breast cancer stem cells" 40 : 5332-5348, 2017

    2 P. Agarwal, "Some inequalities involving Hadamard-type k-fractional integral operators" 40 : 3882-3891, 2017

    3 T. S. He, "Sign-changing solutions for resonant Neumann problems" 454 : 659-672, 2015

    4 T.S. He, "Positive solutions for discrete fourth-order m-point boundary value problems with variable coefficients" 17 : 13-33, 2012

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

    6 Y.Y. Li, "Periodic solutions of a class of fourth-order superlinear differential equations" 2012 : 1-8, 2012

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

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

    9 Y. H. Long, "Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence" 15 : 1549-1557, 2017

    10 C. J. Guo, "Moment stability for uncertain stochastic neural networks with time delays" 4 : 523-538, 2015

    1 C. J. Guo, "Stability analysis of mathematical models for nonlinear growth kinetics of breast cancer stem cells" 40 : 5332-5348, 2017

    2 P. Agarwal, "Some inequalities involving Hadamard-type k-fractional integral operators" 40 : 3882-3891, 2017

    3 T. S. He, "Sign-changing solutions for resonant Neumann problems" 454 : 659-672, 2015

    4 T.S. He, "Positive solutions for discrete fourth-order m-point boundary value problems with variable coefficients" 17 : 13-33, 2012

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

    6 Y.Y. Li, "Periodic solutions of a class of fourth-order superlinear differential equations" 2012 : 1-8, 2012

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

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

    9 Y. H. Long, "Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence" 15 : 1549-1557, 2017

    10 C. J. Guo, "Moment stability for uncertain stochastic neural networks with time delays" 4 : 523-538, 2015

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

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

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

    14 F. Xia, "Homoclinic solutions for second-order nonlinear difference equations with Jacobi operators" 2017 : 1-11, 2017

    15 A. Mai, "Homoclinic solutions for a class of nonlinear difference equations" 2014 : 1-8, 2014

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

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

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

    19 A. Mai, "Ground state solutions for second order nonlinear p-Laplacian difference equations with periodic coefficients" 22 : 1288-1297, 2017

    20 P. Agarwal, "Fractional differential equations for the generalized Mittag-Leffler function" 2018 : 1-8, 2018

    21 E. Thandapani, "Fourth-order nonlinear oscillations of difference equations" 42 : 357-368, 2001

    22 P. Chen, "Existence of solutions for a class of second-order p-Laplacian systems with impulsive effects" 59 : 543-570, 2014

    23 F. Xia, "Existence of periodic solutions for higher order difference equations containing both many advances and retardations" 112 : 239-249, 2018

    24 Y. H. Long, "Existence of multiple solutions to second-order discrete Neumann boundary value problems" 83 : 7-14, 2018

    25 P. Chen, "Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation" 217 : 4408-4415, 2011

    26 C.J. Guo, "Existence of homoclinic orbits of superquadratic first-order Hamiltonian systems" 34 : 27-41, 2015

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

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

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

    30 Praveen Agarwal, "Certain Fractional Integrals and Image Formulas Of Generalized $\mathtt{k}$-Bessel Function" 대한수학회 33 (33): 423-436, 2018

    31 S. Elaydi, "An Introduction to Difference Equations" Springer 2005

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    2026 평가 재인증평가 신청대상 (재인증)
    2020-01-01 등재 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 등재 등재학술지 유지 (계속평가) KCI등재
    2013-01-01 등재 등재학술지 유지 (등재유지) 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 등재 등재학술지 유지 (등재유지) KCI등재
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    1998-07-01 등재 등재후보학술지 선정 (신규평가) KCI등재후보
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