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OSCILLATION CRITERIA FOR DIFFERENCE EQUATIONS WITH SEVERAL OSCILLATING COEFFICIENTS
Bohner, Martin,Chatzarakis, George E.,Stavroulakis, Ioannis P. Korean Mathematical Society 2015 대한수학회보 Vol.52 No.1
This paper presents a new sufficient condition for the oscillation of all solutions of difference equations with several deviating arguments and oscillating coefficients. Corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.
Oscillation criteria for difference equations with several oscillating coefficients
Martin Bohner,George E. Chatzarakis,Ioannis P. Stavroulakis 대한수학회 2015 대한수학회보 Vol.52 No.1
This paper presents a new sufficient condition for the oscillation of all solutions of difference equations with several deviating arguments and oscillating coefficients. Corresponding difference equations of both retarded and advanced type are studied. Examples illustrating the results are also given.
R. Agarwal,E. Akin-Bohner 장전수학회 2007 Advanced Studies in Contemporary Mathematics Vol.15 No.2
In this paper, we obtain some existence results for a singular boundaryvalue problem (BVP) for quasilinear dynamic equations on time scales. In particular, our nonlinearity may be singular in its dependent variable and is allowed tochange sign.
TIME SCALES INTEGRAL INEQUALITIES FOR SUPERQUADRATIC FUNCTIONS
Baric, Josipa,Bibi, Rabia,Bohner, Martin,Pecaric, Josip Korean Mathematical Society 2013 대한수학회지 Vol.50 No.3
In this paper, two different methods of proving Jensen's inequality on time scales for superquadratic functions are demonstrated. Some refinements of classical inequalities on time scales are obtained using properties of superquadratic functions and some known results for isotonic linear functionals.
Time scales integral inequalities for superquadratic functions
Josipa Baric,Rabia Bibi,Martin Bohner,Josip Pecaric 대한수학회 2013 대한수학회지 Vol.50 No.3
In this paper, two different methods of proving Jensen's inequality on time scales for superquadratic functions are demonstrated. Some refinements of classical inequalities on time scales are obtained using properties of superquadratic functions and some known results for isotonic linear functionals.