Agarwal, Ravi P.; O'Regan, Donal(American Mathematical Society (AMS), 2000-07-01)
In this paper we establish the existence of two nonnegative solutions to singular (n, p) and singular (p, n - p) focal boundary value problems. Our nonlinearity f(t, y) may be singular at y = 0, t = 0 and/or t = 1.
Bobisud, L. E.; O'Regan, Donal(American Mathematical Society (AMS), 1996-07-01)
We prove the existence of nonnegative solutions of the problem (py')'/p + mu qg(x, y) = 0, lim(x-->0+)py' = 0, h(y'(1)) + y(1) = 0 for a physically motivated class of nonlinearity h. The results, which are established ...
Galindo, Pablo; Lindström, Mikael; Ryan, Ray(American Mathematical Society (AMS), 2000-01-01)
We prove a characterization (up to the approximation property) of weakly compact composition operators C-phi:H-infinity(B-F) --> H-infinity(B-E) in terms of their inducing analytic maps phi : B-E --> B-F.
Agarwal, Ravi P.; O'Regan, Donal(American Mathematical Society (AMS), 2001-04-01)
A new fixed point theorem for Monch maps on locally convex spaces is given. In addition, a continuation theorem for Monch maps is presented.
Ellis, Graham(American Mathematical Society (AMS), 2001-10-01)
Let H be a group with a normal subgroup N contained in the upper central subgroup Z(c)H. In this article we study the influence of the quotient group G = H/N on the lower central subgroup gamma Hc+1. In particular, for any ...
Ellis, Graham(American Mathematical Society (AMS), 1998-09-01)
This paper is based on the seemingly new observation that the Schur multiplier M(G) of a d-generator group of prime-power order pn has order \M(G)\ less than or equal to p(d(2n-d-1)/2). We prove several related results, ...
Agarwal, Ravi P.; Grace, Said R.; O'Regan, Donal(American Mathematical Society (AMS), 2003-01-01)
This paper introduces a nonoscillatory theory for differential inclusions based on fixed point theory for multivalued maps.
Agarwal, Ravi P.; Perera, Kanishka; O'Regan, Donal(American Mathematical Society (AMS), 2006-03-01)
The purpose of this paper is to use an appropriate variational framework to obtain positive solutions of some singular boundary value problems.
Aron, R.; Lindström, M.; Ruess, W. M.; Ryan, R.(American Mathematical Society (AMS), 1999-04-01)
We prove a factorization result for relatively compact subsets of compact operators using the Bartle and Graves Selection Theorem, a characterization of relatively compact subsets of tensor products due to Grothendieck, ...
Grecu, Bogdan C.; Ryan, Raymond A.(American Mathematical Society (AMS), 2005-04-01)
We study the classes of homogeneous polynomials on a Banach space with unconditional Schauder basis that have unconditionally convergent monomial expansions relative to this basis. We extend some results of Matos, and we ...
McCluskey, A. E.; McMaster, T. B. M.(American Mathematical Society (AMS), 1999-05-01)
An elementary argument constructs, for each cardinal alpha, a topological space whose subspaces, ordered by homeomorphic embeddability, can model every partial order on alpha-many points. We show how to modify this procedure ...
O'Loughlin, Aonghus J; O'Sullivan, Crochan J; Ravikumar, Nandini; Friel, Anne M; Elliott, John T; Morrison, John J(Springer Nature, 2005-01-01)
Background: The non-thrombotic effects of thrombin in cardiovascular tissues, as mediated via the protease activated receptors (PARs), and particularly PAR-1, have been the focus of much recent research. The aims of this ...
O'Regan, Donal(American Mathematical Society (AMS), 1998-10-01)
In this paper we obtain new fixed point and random fixed point theory for approximable maps.
O'Regan, Donal(American Mathematical Society (AMS), 1998-07-01)
Fixed point results of continuation type are presented for random operators. Some applications to stochastic integral equations of Volterra type are also given.
O'Regan, Donal(American Mathematical Society (AMS), 1999-12-01)
A nonlinear alternative of Leray-Schauder type is presented for condensing operators with closed graph. We will then use this theorem to establish new existence principles for differential and integral inclusions in Banach spaces.
Kirwan, Pádraig; Ryan, Raymond A.(American Mathematical Society (AMS), 1998-04-01)
We study the n-homogeneous polynomials on a Banach space X that can be extended to any space containing X. We show that there is an upper bound on the norm of the extension. We construct a predual for the space of all ...
Mahony, Shaun; McInerney, James O; Smith, Terry J; Golden, Aaron(Springer Nature, 2004-01-01)
Background: Many current gene prediction methods use only one model to represent protein-coding regions in a genome, and so are less likely to predict the location of genes that have an atypical sequence composition. It ...
O' Croinin, Donall; Ni Chonghaile, Martina; Higgins, Brendan; Laffey, John G(Springer Nature, 2004-01-01)
Current protective lung ventilation strategies commonly involve hypercapnia. This approach has resulted in an increase in the clinical acceptability of elevated carbon dioxide tension, with hypoventilation and hypercapnia ...
O'Regan, Donal; Perán, Juan(American Mathematical Society (AMS), 2006-03-01)
We prove a fixed-point result for compact upper semicontinuous compact-convex-valued multifunctions satisfying antipodal boundary conditions on bounded symmetric subsets of a normed space. Two types or antipodal conditions ...
O'Regan, Donal(American Mathematical Society (AMS), 1996-02-01)
The Schauder Tychonoff theorem in a locally convex topological space is used to establish existence results for Volterra-Hammmerstein and Hammerstein integral equations in a reflexive Banach space.