Critical Oscillation Constant for Half Linear Differential Equations Which Have Different Periodic Coefficients

Abstract

In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations which have different periodic coefficients. If the periods of these functions are coincide, our results reduce to Dosly and Hasil's results, which were published in Annali di Matematica 190 (2011) 395--408. Finally some examples are also given to illustrate the results.

Keywords

• Half-linear differential equation
• Euler equation
• Riemann-Weber equation
• Prüfer transformation
• Critical oscillation constant

References

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