Properties of solutions of fourth-order differential equations with boundary conditions
Saker, Samir H
Agarwal, Ravi P
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Saker, Samir H; Agarwal, Ravi P; O’Regan, Donal (2013). Properties of solutions of fourth-order differential equations with boundary conditions. Journal of Inequalities and Applications ,
In this paper, we establish some sufficient conditions for (2, 2)-disconjugacy and study the distribution of zeros of nontrivial solutions of fourth-order differential equations. The results are extended to cover some boundary value problems in bending of beams. The main results are proved by making use of a generalization of Hardy's inequality and some Opial-type inequalities. Some examples are considered to illustrate the main results.