幾類非線性脈沖微分方程邊值問(wèn)題解的存在性.pdf

1、Aa??5????K)??35)6:yCC‰!’:!A^??:??5?9A^???“:???m:2013c4?H“‰?a?Aa??5????K)??35???5??y“??????|ng‰?????5K???Nn??5K???5n?.Cc5???nk?5?.du2?A^unzE)EL??d???5.?‘k??^??????K????????K?y3A^nX9D??lfNn??y3??5??9:??.???|^??5????8?f?:n‰

2、?I.??:nIn???Banach?m?Aa??5????)??35Km?)???n:?Ko?n????K?.Lc[???????L????J.?????n.31???e‘k??^??n???????)??35K???????????x(n)(t)f(tx(t)x?(t)x(n?1)(t)(Tx)(t)(Sx)(t))=θ?t∈J??x(i)|t=tk=Iik(x(tk)x?(tk)x(n?1)(tk))(i=01n?1k=12m)x

3、(i)(0)=x0i(i=23n?1)x(0)=x(1)=?10g(s)x(s)dsJ=[01]J=(01]J?=Jt1t2tm00f∈C[JP0λP1λP(n?1)λPPP]Iik∈C[P0λP1λP(n?1)λP](i=01n?1k=12m)(Tx)(t)=?t0k(ts)x(s)ds(Sx)(t)=?10h(ts)x(s)dsk∈C[DR]D=(ts)∈JJt≥sh∈C[JJR]k0=maxk(ts):(ts)∈Dh0=maxh(