Oscillation theorems for third-order damped differential equation with coefficients of nonpositive neutral term

Abstract

Abstract: The oscillation of certain third-order nonlinear damped differential equations with coefficients of nonpositive neutral term is studied. By using the generalized Riccati transform technique and Yang inequality, some new sufficient conditions are established under which all solutions of the considered equations either oscillate or tend to zero. These results extend and improve upon several relative results. An example is given to illustrate the main results.

Key words: oscillation, coefficients of nonpositive neutral term, differential equations, damping terms

CLC Number:

O175.1

LIN Wen-xian. Oscillation theorems for third-order damped differential equation with coefficients of nonpositive neutral term[J]. Journal of Lanzhou University of Technology, 2025, 51(5): 149-153.

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