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Oscillation criteria for nonlinear differential equations with p ( t ) -Laplacian

Yutaka Shoukaku (2016)

Mathematica Bohemica

Recently there has been an increasing interest in studying p ( t ) -Laplacian equations, an example of which is given in the following form ( | u ' ( t ) | p ( t ) - 2 u ' ( t ) ) ' + c ( t ) | u ( t ) | q ( t ) - 2 u ( t ) = 0 , t > 0 . In particular, the first study of sufficient conditions for oscillatory solution of p ( t ) -Laplacian equations was made by Zhang (2007), but to our knowledge, there has not been a paper which gives the oscillatory conditions by utilizing Riccati inequality. Therefore, we establish sufficient conditions for oscillatory solution of nonlinear differential equations with...

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