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Anti-periodic boundary value problems for nonlinear impulsive functional differential equations

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Języki publikacji
EN
Abstrakty
EN
This paper is concerned with the anti-periodic boundary value problems for nonlinear impulsive functional differential equations The sufficient conditions for the existence of at least one solution to above problem are established. The results generalize and improve the known ones. Examples are presented to illustrate the main results.
Rocznik
Tom
Strony
27--45
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
autor
  • Department of Mathematics, Guangdong University of Business Studies, Uangzhou 510320, P. R. China, liuyuji888@sohu.com
Bibliografia
  • [1]Luo Z., SHEN J., NLETO J., Antiperiodic boundary value problem for first-order impulsive ordinary differential equations, Comput. Math. Appl, 49(2005), 253-261.
  • [2]AFTABIZADEH A . R . , AIZICOVICI S., PAVEL N . H . , On a class of second-order anti-periodic boundary value problems, J. Math. Anal Appl, 171(1992), 301-320.
  • [3]AFTABIZADEH A.R., AIZICOVICI S., PAVEL N.H., Anti-periodic boundary value problems for higher order differential equations in Hilbert spaces, Nonl Anal, 18(1992), 253-267.
  • [4]AFTABIZADEH A.R., HUANG Y.K., PAVEL N.H., Nonlinear Third-Order Differential Equations with Anti-periodic Boundary Conditions and Some Optimal Control Problems, J. Math. Anal Appl, 192(1995), 266-293.
  • [5]AIZICOVICI S., MCKIBBEN M., REICH S., Anti-periodic solutions to nonmonotone evolution equations with discontinuous nonlinearities, Nonl Anal,43(2001), 233-251.
  • [6]CHEN Y., On Massera’s theorem for anti-periodic solution, Adv. Math. Sci.Aool, 9(1999), 125-128.
  • [7]CHEN Y., WANG X., Xu H., Anti-periodic solutions for semilinear evolution equations, J. Math. Anal Appl, 273(2002), 627-636.
  • [8]FRANCO D., NIETO J.J., First order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions, Nonl Anal, 42(2000), 163-173.
  • [9]FRANCO D., NIETO J.J., First-order impulsive ordinary differential equations with anti-periodic and nonlinear boundary conditions, Nonl. Anal, 42(2000), 163-173.
  • [10]FRANCO D., NIETO J.J., O'REGAN D., Anti-periodic boundary value problems for nonlinear first order ordinary differential equations, Math. Inequal.Appl, 6(2003), 477-485.
  • [11]PLNSKY S., TRITTMANN U., Anti-periodic boundary conditions in supersymmetric discrete light cone quantization, Physics Rev. D3, 62(2000).
  • [12]GAINES R.E., MAWHIN J.L., Coincidence Degree and Nonlinear Differential Equations, Lecture Notes in Math. 568, Springer, Berlin, 1977.
  • [13]WEI G., SHEN J., Asymptotic behavior of solutions of impulsive differential equations with positive and negative coefficients, Fasc. Math., 36(2005), 109-119.
  • [14]SKORA L., Remarks on first order impulsive ordinary differential equations with anti-periodic boundary conditions, Fasc. Math., 36(2005), 103-108.
  • [15]CHEN L., SUN J., Nonlinear boundary value problem of first order impulsive functional differential equations, J. Math. Anal. Appl, 318 (2006), 726-741.
  • [16]NIETO J., Basic Theory for Nonresonance Impulsive Periodic Problems of First Order, J. Math. Anal. Appl, 205(1997), 423-433.
  • [17]Li J., NIETO J., SHEN J., Impulsive periodic boundary value problems of first order differential equations, J. Math. Anal. Appl., 325(2007)226-236.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP1-0086-0008
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