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Displaying similar documents to “Oscillation of second-order nonlinear differential equations with damping term.”

Asymptotic behaviour of solutions of two-dimensional linear differential systems with deviating arguments

Roman Koplatadze, N. L. Partsvania, Ioannis P. Stavroulakis (2003)

Archivum Mathematicum

Similarity:

Sufficient conditions are established for the oscillation of proper solutions of the system u 1 ' ( t ) = p ( t ) u 2 ( σ ( t ) ) , u 2 ' ( t ) = - q ( t ) u 1 ( τ ( t ) ) , where p , q : R + R + are locally summable functions, while τ and σ : R + R + are continuous and continuously differentiable functions, respectively, and lim t + τ ( t ) = + , lim t + σ ( t ) = + .