Now showing items 1-20 of 11325

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    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.
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    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 ...
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    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.
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    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.
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    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 ...
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    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, ...
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    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.
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    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.
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    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, ...
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    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 ...
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    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 ...
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    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 ...
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    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.
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    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.
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    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.
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    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 ...
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    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 ...
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    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 ...
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    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 ...
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    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.