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Positive solutions of second-order problem with dependence on derivative in nonlinearity under Stieltjes integral boundary condition.
- Source :
-
Electronic Journal of Qualitative Theory of Differential Equations . 2018, p1-13. 13p. - Publication Year :
- 2018
-
Abstract
- In this paper, we investigate the second-order problem with dependence on derivative in nonlinearity and Stieltjes integral boundary condition ... where f : [0, 1] × R+ × R+ → R+ is continuous and α[u] is a linear functional. Some inequality conditions on nonlinearity f and the spectral radius conditions of linear operators are presented that guarantee the existence of positive solutions to the problem by the theory of fixed point index on a special cone in C¹[0, 1]. The conditions allow that f (t, x1, x2) has superlinear or sublinear growth in x1, x2. Some examples are given to illustrate the theorems respectively under multi-point and integral boundary conditions with sign-changing coefficients. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14173875
- Database :
- Academic Search Index
- Journal :
- Electronic Journal of Qualitative Theory of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 133435187
- Full Text :
- https://doi.org/10.14232/ejqtde.2018.1.4