This work is concerned with the behavior of solutions of third order self-adjoint differential equations. It is well known that products of solutions of a second order self-adjoint equation are solutions of the third order equation. A converse of this fact is established. Existence of oscillatory solutions and asymptotic behavior of nonoscillatory solutions is established. Separation and comparison theorems are obtained for such equations.
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Entrata in Redazione il 13 aprile 1972.
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Tefteller, S. Concerning solutions of third order self-adjoint differential equations. Annali di Matematica 96, 185–192 (1973). https://doi.org/10.1007/BF02414839
- Differential Equation
- Asymptotic Behavior
- Order Equation
- Comparison Theorem
- Oscillatory Solution