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Existence results for some initial and boundary value problems without growth restriction
In this paper, using the Schauder Fixed Point Theorem, we establish some existence results or initial and boundary value problems for differential equations withouth growth restriction on the right member.
Resonant singular boundary value problems
(Rocky Mountain Mathematics Consortium, 1995-12-01)
Existence theory is developed for the ''resonant'' singular problem (1/(pq))(py')' + lambda(0)y = f(t,y,py') almost everywhere on [0, 1] with lim(t-->0+) p(t)y'(t) = ay(1) + blim(t-->1-) p(t)y'(t) = 0. Here lambda(0) ...
Existence theory for nonresonant singular boundary value problems
(Cambridge University Press (CUP), 1995-10-01)
We present some existence results for the ''nonresonant'' singular boundary value problem 1/pq(py')'+ mu y = f(t, y) a.e. on [0,1] with lim(t-->0) + p(t)y'(t)=y(1)=0. Here mu is such that 1/pq(pu')'+mu u=0 a.e. on [0,1] ...