Abstract
We investigate the existence of positive global solutions of second-order nonlinear differential equations via principal and nonprincipal solutions of the corresponding homogeneous equation.
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Communicated by A. Constantin.
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Aslanov, A. On the existence of monotone positive solutions of second order differential equations. Monatsh Math 184, 505–517 (2017). https://doi.org/10.1007/s00605-016-1015-9
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DOI: https://doi.org/10.1007/s00605-016-1015-9
Keywords
- Monotone positive solutions
- Second order nonlinear differential equations
- Fixed point theory
- Principal and nonprincipal solutions