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| SOLVABILITY TO THE PICARD BOUNDARY VALUE PROBLEM FOR NONLINEARDIFFERENTIAL SYSTEMS WITH IMPULSES |
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Citation： |
Dong Yujun.SOLVABILITY TO THE PICARD BOUNDARY VALUE PROBLEM FOR NONLINEARDIFFERENTIAL SYSTEMS WITH IMPULSES[J].Chinese Annals of Mathematics B,1998,19(2):197~208 |
| Page view： 1020
Net amount： 620 |
Authors： |
Dong Yujun; |
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| Abstract： |
The author introduces a concept of curvature bound set relative to second
order impulsive differential systems and based on this concept discusses the
existence of solutions to the Picard boundary value problem of the systems.
Compared with the previous works finished by Lakshmikantham and
Erbe, the author's results do not require the right-handed
function and impulsive
functions with special structures such as monotonicity, etc. When the
impulsive effects are absent, these results could be viewed as new generalized
forms of the two so-called optimal results about second order scalar
differential equations derived by Lees and Mawhin respectively. |
Keywords： |
Picard boundary value problem, Solvability, Differential
system with impulses, Curvature bound set |
Classification： |
34A37, 34B15 |
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