Conditionally oscillatory linear differential equations with coefficients containing powers of natural logarithm

Abstract

<abstract><p>In this paper, we study linear differential equations whose coefficients consist of products of powers of natural logarithm and very general continuous functions. Recently, using the Riccati transformation, we have identified a new type of conditionally oscillatory linear differential equations together with the critical oscillation constant. The studied equations are a generalization of these equations. Applying the modified Prüfer angle, we prove that they remain conditionally oscillatory with the same critical oscillation constant.</p></abstract>

Oscillation analysis of conformable fractional generalized Lienard equations

“…Unlike the other fractional derivatives, this definition satisfies almost all the requirements of standard derivative. Research on oscillation of various equations including differential equations, dynamic equations on time scales and their fractional generalizations has been a hot topic in [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In these investigations, we notice that very little attention is paid to oscillation of conformable fractional differential equations [21][22][23][24].…”