Hille–Nehari theorems for dynamic equations with a time scale independent critical constant

Iterative Hille‐type oscillation criteria of half‐linear advanced dynamic equations of second order

“…All of the results mentioned [52][53][54][55][56][57][58][59] have in common that the advanced argument g (𝜉) is not included in the Hille-type criteria mentioned (1.10) and (1.11); these criteria fit better with the ordinary dynamic equation…”

New Hille Type and Ohriska Type Criteria for Nonlinear Third-Order Dynamic Equations

“…The results in [8][9][10][11][12][13][14][15][16] generalized the Hille type criterion for different forms of secondorder dynamic equations. Regarding third-order dynamic equations, the results in [17][18][19][20][21][22][23][24] established several Hille type oscillation criteria for various dynamic equations of the third order, which ensured that the solutions were either oscillatory or nonoscillatory and converged to a finite limit under various restrictive conditions.…”

Criteria for oscillation of noncanonical superlinear half-linear dynamic equations

“…(1.4) oscillates. Karpuz [39] considered the canonical form of the linear dynamic equation r( )z ( ) + q( )z( ( )) = 0;…”