共查询到20条相似文献,搜索用时 724 毫秒
1.
该文讨论了偶数阶边值问题 (-1)m y(2m)=f(t,y), 0≤t≤1,ai+1y(2i) (0)-βi+1y (2i+1) (0)=0, γi+1y(2i) (1)+δi+1y(2i+1) (1)=0,0≤i ≤m-1正解的存在性.借助于Leggett-Williams 不动点定理,建立了该问题存在三个及任意奇数个正解的充分条件. 相似文献
2.
Chuan Jen Chyan 《Journal of Difference Equations and Applications》2013,19(5):403-413
Values of λ are determined for which there exist positive solutions of the 2mth order differential equation on a measure chain, (-1)m x ?2m (t)=λa(t)f(u(σ(t))), y? [0,1], satisfying α i+1 u ?21(0)+0, γ i+1 u ?21(σ(1))=0, 0≤i≤m?1 with αi,βi,γi,δi≥0, where a and f are positive valued, and both lim x-0+ (f(x)/x) and lim x-0+ (f(x)/x) exist. 相似文献
3.
Ming-Huat Lim 《Linear and Multilinear Algebra》2013,61(4):481-496
Let A be a non-empty set and m be a positive integer. Let ≡ be the equivalence relation defined on A m such that (x 1, …, x m ) ≡ (y 1, …, y m ) if there exists a permutation σ on {1, …, m} such that y σ(i) = x i for all i. Let A (m) denote the set of all equivalence classes determined by ≡. Two elements X and Y in A (m) are said to be adjacent if (x 1, …, x m?1, a) ∈ X and (x 1, …, x m?1, b) ∈ Y for some x 1, …, x m?1 ∈ A and some distinct elements a, b ∈ A. We study the structure of functions from A (m) to B (n) that send adjacent elements to adjacent elements when A has at least n + 2 elements and its application to linear preservers of non-zero decomposable symmetric tensors. 相似文献
4.
We apply the Five Functionals Fixed Point Theorem to verify the existence of at least three positive pseudo-symmetric solutions for the discrete three point boundary value problem, ?(g(?u(t-1)))+a(t))f(u(t))=0, for t∈{a+1,…,b+1} and u(a)=0 with u(v)=u(b+2) where g(v)=|v| p-2 v, p>1, for some fixed v∈{a+1,…,b+1} and σ=(b+2+v)/2 is an integer. 相似文献
5.
Jon Chaika 《Geometric And Functional Analysis》2011,21(5):1020-1042
Given an IET T : [0, 1) → [0, 1) and decreasing sequence of positive real numbers with divergent sum a = {ai}¥i=1{{\bf a} = \{a_i\}^\infty_{i=1}} we consider
ST (a) = {(x, y) ? [0, 1) ×[0, 1) : y ? B(Ti x, ai) for infinitely many i }S_T ({\bf a}) = \{(x, y) \in [0, 1) \times [0, 1) : y \in B(T^i x, a_i) \, {\rm for\,infinitely\,many}\,i \} 相似文献
6.
James E. Simpson 《Discrete Mathematics》1983,44(1):97-104
A sequence {d, d+1,…, d+m?1} of m consecutive positive integers is said to be perfect if the integers {1, 2,…, 2m} can be arranged in disjoint pairs {(ai, bi): 1?i?m} so that {bi?ai: 1?i?m}={d,d+1,…,d+m?1}. A sequence is hooked if the set {1, 2,…, 2m?1 2m+1} can be arranged in pairs to satisfy the same condition. Well known necessary conditions for perfect sequences are herein shown to be sufficient. Similar necessary and sufficient conditions for hooked sequences are given. 相似文献
7.
Valeriy A. Yumaguzhin 《Acta Appl Math》2010,109(1):283-313
This paper is devoted to differential invariants of equations
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