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On a boundary value problem on an infinite interval for nonlinear functional differential equations
| Content Provider | Scilit |
|---|---|
| Author | Kiguradze, Ivan Sokhadze, Zaza |
| Copyright Year | 2017 |
| Abstract | Sufficient conditions are found for the solvability of the following boundary value problem:u^{(n)}(t)=f(u)(t),\qquad u^{(i-1)}(0)=\varphi_{i}(u^{(n-1)}(0))\quad(i=1,% \dots,n-1),\qquad\liminf_{t\to+\infty}\lvert u^{(n-2)}(t)|<+\infty,where {f\colon C^{n-1}(\mathbb{R}_{+})\to L_{\mathrm{loc}}(\mathbb{R}_{+})} is a continuous Volterra operator, and {\varphi_{i}\colon\mathbb{R}\to\mathbb{R}} ({i=1,\dots,n}) are continuous functions. |
| Related Links | http://www.degruyter.com/downloadpdf/j/gmj.ahead-of-print/gmj-2016-0055/gmj-2016-0055.xml |
| Ending Page | 225 |
| Page Count | 9 |
| Starting Page | 217 |
| ISSN | 1072947X |
| e-ISSN | 15729176 |
| DOI | 10.1515/gmj-2016-0055 |
| Journal | Georgian Mathematical Journal |
| Issue Number | 2 |
| Volume Number | 24 |
| Language | English |
| Publisher | Walter de Gruyter GmbH |
| Publisher Date | 2017-06-01 |
| Access Restriction | Open |
| Subject Keyword | Georgian Mathematical Journal Mathematics Functional Differential Equation Volterra Operator Boundary Value Problem On an Infiniteinterval Solvability Journal: Georgian Mathematical Journal, Vol- 24 |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |