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Conditions of Existence and Uniqueness of Solutions of the Multipoint Boundary Value Problem for a System of Generalized Ordinary Differential Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ashordia, Malkhaz |
| Copyright Year | 1998 |
| Abstract | AbstractEffective sufficient conditions are established for the solvability and unique solvability of the boundary value problem $$\begin{gathered} dx(t) = dA(t) \cdot f(t,x(t)), \hfill \\ x_i (t_i ) = \varphi _i (x){\text{ }}(i = 1,...,n), \hfill \\ \end{gathered} $$ where $$x = (x_i )_{i = 1}^n ,{\text{ }}A:[a,b] \to R^{n \times n} $$ is a matrix-function with bounded variation components, $$f:[a,b] \times R^n \to R^n $$ is a vector-function belonging to the Carathéodory class corresponding to $$A;t_1 ,...,t_n \in [a,b]{\text{ and }}\varphi _1 ,...,\varphi _n $$ are continuous functionals (in general nonlinear) defined on the set of all vector-functions of bounded variation. |
| Starting Page | 1 |
| Ending Page | 24 |
| Page Count | 24 |
| File Format | PDF HTM / HTML |
| DOI | 10.1023/B:GEOR.0000008135.69001.48 |
| Volume Number | 5 |
| Alternate Webpage(s) | http://emis.maths.tcd.ie/EMIS/journals/GMJ/vol5/v5n1-1.pdf |
| Alternate Webpage(s) | http://directory.umm.ac.id/Journals/Journal_of_mathematics/GMJ/v5n1-1.pdf |
| Alternate Webpage(s) | http://www.maths.soton.ac.uk/EMIS/journals/GMJ/vol5/v5n1-1.pdf |
| Alternate Webpage(s) | http://www.emis.de/journals/GMJ/vol5/v5n1-1.pdf |
| Alternate Webpage(s) | http://www.maths.tcd.ie/EMIS/journals/GMJ/vol5/v5n1-1.pdf |
| Alternate Webpage(s) | http://emis.maths.adelaide.edu.au/journals/GMJ/vol5/v5n1-1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1023/B%3AGEOR.0000008135.69001.48 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
