scholarly journals Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Zuzana Došlá ◽  
Petr Hasil ◽  
Serena Matucci ◽  
Michal Veselý
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Linear Differential ◽  
Critical Oscillation

scholarly journals Oscillation and non-oscillation of half-linear differential equations with coeffcients determined by functions having mean values

2018 ◽  
Vol 16 (1) ◽  
pp. 507-521 ◽  
Author(s):  
Petr Hasil ◽  
Michal Veselý
Keyword(s):  
Differential Equations ◽  
Linear Equations ◽  
Qualitative Theory ◽  
Linear Differential Equations ◽  
Power Functions ◽  
Mean Values ◽  
Linear Differential ◽  
Critical Oscillation ◽  
Non Linear Equations ◽  
Oscillation Constant

AbstractThe paper belongs to the qualitative theory of half-linear equations which are located between linear and non-linear equations and, at the same time, between ordinary and partial differential equations. We analyse the oscillation and non-oscillation of second-order half-linear differential equations whose coefficients are given by the products of functions having mean values and power functions. We prove that the studied very general equations are conditionally oscillatory. In addition, we find the critical oscillation constant.

Sign in / Sign up

Export Citation Format

Share Document