Existence and Uniqueness to Nonlinear Dynamic Boundary Value Problems
作者： Christopher C. Tisdell
DOI:
关键词:
摘要: This article investigates the existence and uniqueness of solutions to nonlinear dynamic system x = f(t,x), (1) where: t comes from a so-called “time scale” T; is generalized derivative x; subjected some two-point boundary conditions. The may accurately describe processes where time flow continuously discretely at dierent stages in one model. Some sucient conditions
unsw.edu.au参考文章(15)
Vanessa Speeding, Taming nature's numbers New Scientist. pp. 28- 31 ,(2003)
CC Tisdell, HB Thompson, On the existence of solutions to boundary value problems on time scales Dynamics Of Continuous Discrete And Impulsive Systems-Series A-Mathematical Analysis. ,vol. 12, pp. 595- 606 ,(2005)
Martin Bohner, Allan Peterson, Dynamic Equations on Time Scales Birkhäuser Boston. ,(2001) , 10.1007/978-1-4612-0201-1
T. Fenchel, Freddy Bugge Christiansen, Theories of Populations in Biological Communities ,(1977)
Advances in dynamic equations on time scales Birkhäuser. ,(2003) , 10.1007/978-0-8176-8230-9
D. Otero, D. Giuliani, M. Sassano, Temporal dimension and transition out of chaos Physica A-statistical Mechanics and Its Applications. ,vol. 178, pp. 280- 288 ,(1991) , 10.1016/0378-4371(91)90021-4
A.C. Peterson, Y.N. Raffoul †, C.C. Tisdell ‡, Three Point Boundary Value Problems on Time Scales Journal of Difference Equations and Applications. ,vol. 10, pp. 843- 849 ,(2004) , 10.1080/10236190410001702481
P. Amster, C. Rogers, C.C. Tisdell, Existence of solutions to boundary value problems for dynamic systems on time scales Journal of Mathematical Analysis and Applications. ,vol. 308, pp. 565- 577 ,(2005) , 10.1016/J.JMAA.2004.11.039
Johnny Henderson, Christopher C Tisdell, None, Topological transversality and boundary value problems on time scales Journal of Mathematical Analysis and Applications. ,vol. 289, pp. 110- 125 ,(2004) , 10.1016/J.JMAA.2003.08.030
Lynn Erbe, Allan Peterson §, Christopher C. Tisdell ¶, Existence of solutions to second-order BVPs on time scales Applicable Analysis. ,vol. 84, pp. 1069- 1078 ,(2005) , 10.1080/00036810410001724706