Oscillation of second-order strongly superlinear and strongly sublinear dynamic equations

2009 ◽  
Vol 14 (8) ◽  
pp. 3463-3471 ◽  
Author(s):  
Said R. Grace ◽  
Ravi P. Agarwal ◽  
Martin Bohner ◽  
Donal O’Regan
Keyword(s):  
Second Order ◽  
Dynamic Equations ◽  
Strongly Sublinear

scholarly journals Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Ming Zhang ◽  
Wei Chen ◽  
MMA El-Sheikh ◽  
RA Sallam ◽  
AM Hassan ◽  
...  
Keyword(s):  
Neutral Type ◽  
Second Order ◽  
Dynamic Equations ◽  
Oscillation Criteria ◽  
Delay Dynamic Equations ◽  
Nonlinear Delay

scholarly journals Delta-Nabla Type Maximum Principles for Second-Order Dynamic Equations on Time Scales and Applications

2014 ◽  
Vol 2014 ◽  
pp. 1-28
Author(s):  
Jiang Zhu ◽  
Dongmei Liu
Keyword(s):  
Time Scales ◽  
Initial Value Problems ◽  
Second Order ◽  
Dynamic Equations ◽  
Maximum Principles ◽  
Uniqueness Theorems ◽  
Initial Value ◽  
Approximation Theorems ◽  
Construction Techniques ◽  
Linear And Nonlinear

Some delta-nabla type maximum principles for second-order dynamic equations on time scales are proved. By using these maximum principles, the uniqueness theorems of the solutions, the approximation theorems of the solutions, the existence theorem, and construction techniques of the lower and upper solutions for second-order linear and nonlinear initial value problems and boundary value problems on time scales are proved, the oscillation of second-order mixed delat-nabla differential equations is discussed and, some maximum principles for second order mixed forward and backward difference dynamic system are proved.

scholarly journals Existence of Bounded Solutions for Second Order Dynamic Equations

2002 ◽  
Vol 8 (4) ◽  
pp. 389-401 ◽  
Author(s):  
Elvan Akin ◽  
Martin Bohner ◽  
Lynn Erbe ◽  
Allan Peterson
Keyword(s):  
Second Order ◽  
Dynamic Equations ◽  
Bounded Solutions
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