@article{R. Ravi Sankar_N. Sreedhar_K. R. Prasad_2021, title={Existence Results for Fourth Order Non-Homogeneous Three-Point Boundary Value Problems}, volume={2}, url={https://ojs.wiserpub.com/index.php/CM/article/view/780}, DOI={10.37256/cm.222021780}, abstractNote={<p>The present paper focuses on establishing the existence and uniqueness of solutions to the nonlinear differential equations of order four y<sup>(4)</sup>(t) + g(t, y(t)) = 0, t ∈ [a, b], together with the non-homogeneous three-point boundary conditions y(a) = 0, y′(a) = 0, y′′(a) = 0, y(b) − αy(ξ ) = λ, where 0 ≤ a &lt; b, ξ ∈ (a, b), α, λ are real numbers and the function g: [a, b] × R→R is a continuous with g(t, 0) ≠ 0. With the aid of an estimate on the integral of kernel, the existence results to the problem are proved by employing fixed point theorem due to Banach.</p>}, number={2}, journal={Contemporary Mathematics}, author={R. Ravi Sankar and N. Sreedhar and K. R. Prasad}, year={2021}, month={May}, pages={162–172} }