PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS

Volume: 2 Number: 2 December 1, 2007
  • Yuji Lıu

PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS

Abstract

 We prove existence results for the solutions of the periodic boundary valueproblem concerning the n-th order functional differential equation with impulses effects and the periodic boundary conditions. Our method is based upon the coincidence degree theory of Mawhin and some technicalinequalities. Examples are presented to illustrate the main results.


Keywords

References

  1. BAINOV, D.D., et al.; 1989, Periodic boundary value problems foe systems of first order impulsive equations, Differential and Integral Equations, 2(1), 37-43.
  2. BAINOV, D.D.; SIMEONOV, P.S.; 1993, Impulsive differential equations: periodic solutions and applications, Hacloi: Longman Scientific and Technical.
  3. CABADA, A.; 1994, The monotone method for first order problems with linear and nonlinear boundary conditions, Applied Mathematics and Computation, 63, 163-186.
  4. CABADA, A.; NIETO, J. J.; FRANCO, D.; TROFIMCHUK, S. I.; 2000, A generalization of the monotone method for second order periodic boundary value problems with impulses at fixed points, Dynamics of Continuous Discrete and Impulsive Systems, 7, 145-158.
  5. CHEN, L.; SUN, J.; 2006, Boundary value problems of second order impulsive functional differential equations, Journal of Mathematical Analysis and Applications, 323, 708-720.
  6. CHU, J.; ZHOU, Z.; 2006, Positive solutions for singular third order periodic boundary value problems, Nonlinear Analysis, 64, 1528-1542.
  7. CONG, F.; 1998, Periodic solutions for 2kth order ordinary differential equations with nonresonance, Nonlinear Analysis, 32, 787-793.
  8. CONG, F.; HUANG, Q.; SHI, S.; 2000, existence and Uniqueness of Periodic Solutions for (2n + 1)th-Order Differential Equations, Journal of Mathematical Analysis and Applications, 241, 1-9.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

-

Authors

Yuji Lıu This is me

Publication Date

December 1, 2007

Submission Date

October 4, 2007

Acceptance Date

October 19, 2007

Published in Issue

Year 2007 Volume: 2 Number: 2

APA
Lıu, Y. (2007). PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 2(2), 253-272. https://doi.org/10.29233/sdufeffd.134631
AMA
1.Lıu Y. PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2007;2(2):253-272. doi:10.29233/sdufeffd.134631
Chicago
Lıu, Yuji. 2007. “PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 2 (2): 253-72. https://doi.org/10.29233/sdufeffd.134631.
EndNote
Lıu Y (December 1, 2007) PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS. Süleyman Demirel University Faculty of Arts and Science Journal of Science 2 2 253–272.
IEEE
[1]Y. Lıu, “PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 2, no. 2, pp. 253–272, Dec. 2007, doi: 10.29233/sdufeffd.134631.
ISNAD
Lıu, Yuji. “PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 2/2 (December 1, 2007): 253-272. https://doi.org/10.29233/sdufeffd.134631.
JAMA
1.Lıu Y. PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2007;2:253–272.
MLA
Lıu, Yuji. “PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 2, no. 2, Dec. 2007, pp. 253-72, doi:10.29233/sdufeffd.134631.
Vancouver
1.Yuji Lıu. PERIODIC BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2007 Dec. 1;2(2):253-72. doi:10.29233/sdufeffd.134631