Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 0642.34030
Dădărlat, Marius
Bounded solutions for singular boundary value problems. (English)
[J] Math. Slovaca 37, 395-405 (1987). ISSN 0139-9918; ISSN 1337-2211/e

Let T be the set obtained by removing k points (counting multiplicities) from [0,1]. Let $A\sb i$ be an invertible matrix-valued function in T with real entries of class $C\sp i(T)$, $i=1,...,k$, and let $B\sb j$ be a real continuous matrix-valued function in T for $j=0,...,p$. Boundary value problems are considered for the vector-matrix differential equation $$ DA\sb 1(t)... DA\sb k(t)D\sp px+\sum\sp{p}\sb{j=0}B\sb j(t)D\sp jx=f(t,x,...,x\sp{(p+q-1)}) $$ in T, with homogeneous boundary conditions at p points in [0,1], where $1\le q\le k$, $D=d/dt$. Conditions are given for which such singular boundary value problems have solutions $x\in C\sp{p+k}(T,R\sp n)$ extendible to $C\sp{p-1}([0,1],R\sp n).$
[Charles A.Swanson (Vancouver)]

MSC 2000:: *34C11 Qualitative theory of solutions of ODE: Growth, etc.
34B10 Multipoint boundary value problems
34B15 Nonlinear boundary value problems of ODE

Keywords: multipoint boundary value problem; existence theorem; vector-matrix differential equation

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]