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We present a version of Opial's inequality for time scales and point out some of its applications to so-called dynamic equations. Such dynamic equations contain both differential equations and difference equations as special cases. Various extensions of our inequality are offered as well.
Martin Bohner, and Bıllûr Kaymakçalan. "Opial inequalities on time scales." Annales Polonici Mathematici 77.1 (2001): 11-20. <http://eudml.org/doc/280419>.
@article{MartinBohner2001, abstract = {We present a version of Opial's inequality for time scales and point out some of its applications to so-called dynamic equations. Such dynamic equations contain both differential equations and difference equations as special cases. Various extensions of our inequality are offered as well.}, author = {Martin Bohner, Bıllûr Kaymakçalan}, journal = {Annales Polonici Mathematici}, keywords = {time scale; Opial inequality; discrete Opial inequality}, language = {eng}, number = {1}, pages = {11-20}, title = {Opial inequalities on time scales}, url = {http://eudml.org/doc/280419}, volume = {77}, year = {2001}, }
TY - JOUR AU - Martin Bohner AU - Bıllûr Kaymakçalan TI - Opial inequalities on time scales JO - Annales Polonici Mathematici PY - 2001 VL - 77 IS - 1 SP - 11 EP - 20 AB - We present a version of Opial's inequality for time scales and point out some of its applications to so-called dynamic equations. Such dynamic equations contain both differential equations and difference equations as special cases. Various extensions of our inequality are offered as well. LA - eng KW - time scale; Opial inequality; discrete Opial inequality UR - http://eudml.org/doc/280419 ER -