期刊论文详细信息
Canadian mathematical bulletin | |
Uniqueness Implies Existence and Uniqueness Conditions for a Class of $(k+j)$-Point Boundary Value Problems for $n$-th Order Differential Equations | |
Johnny Henderson2  Rahmat Ali Khan1  Paul W. Eloe3  | |
[1] Centre for Advanced Mathematics and Physics, National University of Sciences and Technology(NUST), Campus of College of Electrical and Mechanical Engineering, Peshawar Road, Rawalpindi, Pakistan;Department of Mathematics, Baylor University, Waco, TX, 76798-7328, USA;Department of Mathematics, University of Dayton, Dayton, OH, 45469-2316, USA | |
关键词: boundary value problem; uniqueness; existence; unique solvability; nonlinear interpolation; | |
DOI : 10.4153/CMB-2011-117-0 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
For the $n$-th order nonlinear differential equation, $y^{(n)} = f(x, y, y',dots, y^{(n-1)})$, we consider uniqueness implies uniqueness and existenceresults for solutions satisfying certain $(k+j)$-pointboundary conditions for $1le j le n-1$ and $1leq k leq n-j$. Wedefine $(k;j)$-point unique solvability in analogy to $k$-pointdisconjugacy and we show that $(n-j_{0};j_{0})$-pointunique solvability implies $(k;j)$-point unique solvability for $1le j lej_{0}$, and $1leq k leq n-j$. This result is analogous to$n$-point disconjugacy implies $k$-point disconjugacy for $2le klen-1$.
【 授权许可】
Unknown
【 预 览 】
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RO201912050576857ZK.pdf | 37KB | download |