Def 1.1(Sturm-Liouville 微分方程)形如 (p(x)y′)′+(λr(x)+q(x))y=0 的方程称为Sturm-Liouville 微分方程, 其中 我们说明,任何一个二阶齐次线性微分方程都可以写成 Strum-Liouville 方程的形式。考虑 则 即为所求 Sturm-liouville 方程的形式。为方便起见,令 ...
This chapter discusses Sturm-Liouville theory. The chapter discusses differential equation; existence, uniqueness, and bounds for Solutions; boundary problem; oscillatory properties; interpolatory property; eigenfunction expansion; second-order equation with discontinuities; Green's function; and convergence of...
pointtheorem, itwas proVed thee如stanceof multipleposive80lutionsofSturm・Liouville problems forsecoImorder impulsiVe di颤色rential equations. I—Lu=9(。,Ⅱ),茁∈,7, J一△(pu,)I。:。。=^(“(茁k)),七=1,2,・一,m, IRl(u)=Q1u(o)+卢lt‘7(o)=o, ...
Consider Sturm2liouville boundary value p roblem (S2L BVP) for nonlinear second o rder impu lsive differen tial equa tions L u = (- p (t) u′) ′+ q( t) u = f (t, u, u′) , t ≠tk, ∃u� t= t k = Ik (u (tk ) ) , ...
Byusingtopologicaldegreeandfixedpointtheoremincone , weconsidertheexistenceofposi tivesolutionsofSturm Liouvilleboundaryvalueproblemwithsingularity , andobtainthenewexistence theorems.Itwillhaveawiderangeofapplication. Keywords : singularity ; Sturm Liouvilleboundanyvalueproblem ; positivesolution CLCnumber : O175...
征值问题,这就是Sturm.Liouville问题.近些年来, 许多学者在Sturm—Liouville问题的谱,谱的反问题, 算子的迹,高阶微分方程以及微分方程组等方面,完 收稿日期:2oo8—12—19 基金项目:国家自然科学基金(60774004);山东省自然科学基金 (Y2007A27);济南大学博士基金(B0621) ...
Liouville theorem 刘维定理 with system 有秩序地,有规则地 stematognathic system 【医】 咀嚼系统 Liouville equation 【化】 刘维尔方程 Liouville operator 【化】 刘维尔算符 相似单词 system n. 1.系统 2.制度;体制 3.[the system]既成秩序;现政府,统治集团 4.理论体系 5.方法 6.分类原则 7....
Sturm-Liouville Theory and its Applications 2025 pdf epub mobi 电子书 图书描述 Provides a rigorous introduction to Sturm-Liouville theory at a level suitable for undergraduates Includes clearly worked examples and exercises with solutions, making the book well suited for self-study Meets the needs of...
(1.2) Ourmainresultsasfollows. Theorem1.1Assumethat(H1)–(H4)hold.If limsup z→0+ max r∈[a,b] f(r,z) z <µ ∗µ ∗ >limsup z→+∞ max r∈[a,b] f(r,z) z , thentheproblem(1.1)hasatleastonenontriviallynonnegativesolution. Keywords:Sturm-Liouvilleproblem;Sturm-Liouville...
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