TAILIEUCHUNG - Báo cáo hóa học: " Multiplicity results for a generalized SturmLiouville dynamical system on time scales"

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Multiplicity results for a generalized SturmLiouville dynamical system on time scales | Zhang Advances in Difference Equations 2011 2011 24 http content 2011 1 24 o Advances in Difference Equations a SpringerOpen Journal RESEARCH Open Access Multiplicity results for a generalized Sturm-Liouville dynamical system on time scales Youwei Zhang Correspondence ywzhang0288@ Department of Mathematics Hexi University Gansu 734000 People s Republic of China SpringerOpen0 Abstract By applying the fixed point theorem in cones some new and general results on the existence of positive solution to second order generalized Sturm-Liouville dynamical system on time scale T uệA t h1 t f1 t u1 t u2 t u t u2 t 0 _ . . IKJLKJJLK 1V. 2 u2 t h2 t f2 t ui t U2 t uị t uj t 0 fc lt1 t2 T w yffl 2 aut ti bUị ti y aku ệk _ m 2 i 1 2 . cut ơ t2 du ơ t2 2 bkut lk are obtained. The first-order A-derivatives are involved in the nonlinear terms explicitly. Mathematics Subject Classification 2000 39A10 Keywords Sturm-Liouville dynamical system Cone Fixed point Positive solution Time scales 1 Introduction Time scales theory allows us to handle systematically the continuous and discrete problems and to setup a certain structure which is to play the role of generalizing continuous and discrete 1 2 as well as more general systems simultaneously. The study of time scales has led to several important applications for example in the study of insect population models phytoremediation of metals wound healing and epidemic models 3-5 . Dynamic systems have been the subject of numerous investigations and are also used of various real processes and phenomena in physics such as dynamics of gas flow Newtonian fluid mechanics nuclear physics boundary layer theory and so on which during their evolutionary processes experience an abrupt change of state at certain moments of time we refer to Wang 6 Zhang 7 and the references therein. Recently there have seen a significant development and have made substantial progress on discussing the solutions for the .

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