A comparison between the fourth order linear differential equation with its boundary value problem
DOI:
https://doi.org/10.31489/2020m3/18-25Keywords:
linear differential equation, eigenvalue, eigenfunction, upper bound, linearly independent solution, wrongskian, Gronwall inequality, Variation of parametersAbstract
In this paper, we study a fourth order linear differential equation. We found an upper bound for the solutions of this differential equation and also, we prove that all the solutions are in L4(0, ∞). By comparing these results we obtain that all the eigenfunction of the boundary value problem generated by this differential equation are bounded and in L4(0, ∞).
