Existence of Nonnegative and Nonpositive Solutions for Second Order Periodic Boundary Value Problems

152 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Periodic solutions of singular second order differential equations: Upper and lower functions (2011, background): “A related interesting result can be found in [10].”
Positive periodic solutions of singular systems with a parameter (2010, background): “t because it is a non-collision periodic orbit of the singular systems. Periodic solutions of singular systems has been studied over many years, see, for example, [1,2,3,4,5,10,11,12,13,14,15,17] and [18,20,21,22,24,25,26,27,30]. One of the common assumptions to guarantee the existence of is a so-ca”
Solvability of Nonlinear Singular Problems for Ordinary Differential Equations (2009, unknown): “For the case of weak singularity, first results were delivered by Rachůnková, Tvrdý, and Vrkoč in [173].”
Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem (2003, methodology): “Our method can deal with more complex equations (adding, for instance, timevarying coefficients) that seem not to be covered by the results in [ 25 ] ,a s in the following example.”