×

zbMATH — the first resource for mathematics

On the solvability of linear boundary value problems for systems of generalized ordinary differential equations. (English) Zbl 1050.34007
This work deals with the solvability of the general linear boundary value problem of linear generalized ordinary differential equations of the form
\[ dx(t)= dA(t)\,x(t)+ df(t),\qquad \ell(x)= c_0, \]
where \(A\) and \(f\) are matrix- and vector-functions defined on \([a,b]\), respectively, \(c_0\in\mathbb{R}^n\), and \(\ell\) is a linear continuous operator from the space of bounded variation vector-functions defined on the segment \([a,b]\) into \(\mathbb{R}^n\).

MSC:
34B05 Linear boundary value problems for ordinary differential equations
PDF BibTeX XML Cite