Lyapunov′s Type Inequalities for Fourth‐Order Differential Equations
Copyright policy )Lyapunov′s Type Inequalities for Fourth‐Order Differential Equations
For a fourth‐order differential equation, we will establish some new Lyapunov‐type inequalities, which give lower bounds of the distance between zeros of a nontrivial solution and also lower bounds of the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of Hardy’s inequality and some generalizations of Opial‐Wirtinger‐type inequalities involving higher‐order derivatives. Some examples are considered to illustrate the main results.
- King Saud University Saudi Arabia
QA1-939, Inequalities involving derivatives and differential and integral operators, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Mathematics
QA1-939, Inequalities involving derivatives and differential and integral operators, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations, Mathematics
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