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Dynamic Systems and Applications xx (200x) xx-xx EXISTENCE OF SOLUTIONS FOR NONLINEAR MULTI-POINT
 

Summary: Dynamic Systems and Applications xx (200x) xx-xx
EXISTENCE OF SOLUTIONS FOR NONLINEAR MULTI-POINT
PROBLEMS ON TIME SCALES
DOUGLAS R. ANDERSON
Department of Mathematics and Computer Science, Concordia College,
Moorhead, MN 56562 USA.
Dedicated to John Baxley on the occasion of his
retirement from Wake Forest University.
ABSTRACT. Consider the nonlinear second-order Sturm-Liouville-type multipoint boundary value
problem
py

(t) - q(t)y(t) + h(t)f(t, y(t)) = 0, t1 < t < tn,
y(t1) - p(t1)y (t1) =
n-1
i=2
aiy(ti), y(tn) + p(tn)y (tn) =
n-1
i=2
biy(ti).

  

Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

 

Collections: Mathematics