This
paper is concerned with the following fourth-order three-point boundary value
problem , where , we discuss the existence of positive solutions to
the above problem by applying to the fixed point theory in cones and iterative
technique.
References
[1]
Cabada, A., Enguica, R. and Lpez-Somoza, L. (2017) Positive Solutions for Second-Order Boundary Value Problems with Sign Changing Greens Functions. Electron. J. Differential Equations, No. 245, 1-17.
[2]
Hai, D.-D. (2018) Existence of Positive Solutions for Periodic Boundary Value Problem with Sign-Changing Green’s Function. Positivity, 22, 1269-1279. https://doi.org/10.1007/s11117-018-0573-6
[3]
Guo, D. and Lakshmikantham, V. (1988) Nonlinear Problems in Abstract Cones. Academic Press, New York.
[4]
Martin, R.H. (1976) Nonlinear Operators and Differential Equations in Banach Spaces. Wiley, New York.
[5]
Minhs, F. (2017) Solvability of Generalized Hammerstein Integral Equations on Unbounded Domains, with Sign-Changing Kernels. Applied Mathematics Letters, 65, 113-117. https://doi.org/10.1016/j.aml.2016.10.012
[6]
Gao, C., Zhang, F. and Ma, R. (2017) Existence of Positive Solutions of Second-Order Periodic Boundary Value Problems with Sign-Changing Greens Function. Acta Mathematicae Applicatae Sinica, English Series, 33, 263-268. https://doi.org/10.1007/s10255-017-0657-2
[7]
Sun, J.-P. and Zhao, J. (2013) Iterative Technique for a Third-Order Three-Point BVP with Sign-Changing Greens Function. The Electronic Journal of Qualitative Theory of Differential Equations, 2013, 1-11. https://doi.org/10.14232/ejqtde.2013.1.30
[8]
Zhang, Y., Sun, J.-P. and Zhao, J. (2018) Positive Solutions for a Fourth-Order Three-Point BVP with Sign-Changing Greens Function. The Electronic Journal of Qualitative Theory of Differential Equations, 5, 1-11. https://doi.org/10.14232/ejqtde.2018.1.5
![\"\"](\"Edit_0923fc9c-5864-4481-bcc7-fb84003331e3.png\")
![\"\"](\"Edit_e528a3a1-0639-4c4e-855f-427c31de2b53.png\")
