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Fixed point theorems and equilibrium points in abstract economies
(Cambridge University Press (CUP), 1998-08-01)
New fixed point theorems are given which have applications in the theory of abstract economies.
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] ...
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 theorems for certain classes of singular boundary value problems
(Elsevier BV, 1992-08-01)
Coincidence principles and fixed point theory for mappings in locally convex spaces
(Rocky Mountain Mathematics Consortium, 1998-12-01)
We present a coincidence principle for concentrative maps. This leads to new fixed point theory for nonlinear operators.
Existence results for differential equations with reflection of the argument
(Cambridge University Press (CUP), 1994-10-01)
Existence principles are given for systems of differential equations with reflection of the argument. These are derived using fixed point analysis, specifically the Nonlinear Alternative. Then existence results are deduced ...