论文信息 - CRITICAL OSCILLATION CONSTANT FOR HALF LINEAR DIFFERENTIAL EQUATIONS WHICH HAVE DIFFERENT PERIODIC COEFFICIENTS

CRITICAL OSCILLATION CONSTANT FOR HALF LINEAR DIFFERENTIAL EQUATIONS WHICH HAVE DIFFERENT PERIODIC COEFFICIENTS

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.

Adil Misir | Adil Misir | Banu Mermerkaya | Banu Mermerkaya

[1] P. Hasil,et al. Critical oscillation constant for half-linear differential equations with periodic coefficients , 2011 .

[2] P. Hasil. Conditional oscillation of half-linear differential equationswith periodic coefficients , 2008 .

[3] Á. Elbert,et al. Perturbations of the Half-Linear Euler Differential Equation , 2000 .

[4] Ondřej Došlý,et al. Half-linear differential equations , 2005 .

[5] K. Schmidt. Oscillation of the perturbed Hill equation and the lower spectrum of radially periodic Schrodinger operators in the plane , 1999 .

[6] P. Beesack. Hardy’s inequality and its extensions , 1961 .

[7] Karl Michael Schmidt,et al. Critical Coupling Constants and Eigenvalue Asymptotics of Perturbed Periodic Sturm–Liouville Operators , 2000 .

[8] O. Doslý. Perturbations of the half-linear Euler–Weber type differential equation , 2006 .