Publications by the researcher in collaboration with José Ángel Cid Araújo (19)

2022

  1. New Lipschitz–type conditions for uniqueness of solutions of ordinary differential equations

    Journal of Mathematical Analysis and Applications, Vol. 514, Núm. 2

  2. Uniqueness criteria for ordinary differential equations with a generalized transversality condition at the initial condition

    Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2022

2019

  1. Preface

    Springer Proceedings in Mathematics and Statistics

2016

  1. Integration by parts and by substitution unified with applications to Green's Theorem and uniqueness for ODEs

    American Mathematical Monthly, Vol. 123, Núm. 1, pp. 40-52

2015

  1. A generalization of Montel-Tonelli's Uniqueness Theorem

    Journal of Mathematical Analysis and Applications, Vol. 429, Núm. 2, pp. 1173-1177

2011

  1. Existence of infinitely many solutions for second-order singular initial value problems with an application to nonlinear massive gravity

    Nonlinear Analysis: Real World Applications, Vol. 12, Núm. 5, pp. 2596-2606

2009

  1. Does lipschitz with respect to x imply uniqueness for the differential equation y' = f(x, y)?

    American Mathematical Monthly, Vol. 116, Núm. 1, pp. 61-66

2008

  1. Existence of unique solutions for perturbed autonomous differential equations

    Journal of the London Mathematical Society, Vol. 78, Núm. 3, pp. 798-812

2007

  1. Initial value problems for singular and nonsmooth second order differential inclusions

    Mathematische Nachrichten, Vol. 280, Núm. 12, pp. 1335-1343

  2. Sharp conditions for the existence of solutions of second-order autonomous differential equations

    Mediterranean Journal of Mathematics, Vol. 4, Núm. 2, pp. 191-214

2006

  1. Uniqueness and existence results for ordinary differential equations

    Journal of Mathematical Analysis and Applications, Vol. 316, Núm. 1, pp. 178-188

2005

  1. Positive solutions for a class of singular differential equations arising in diffusion processes

    Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, Vol. 12, Núm. 3-4, pp. 329-342

2004

  1. Erratum: Existence theory for first order discontinuous functional differential equations (Proceedings of the American Mathematical Society (2002) 130:11 (3301-3311))

    Proceedings of the American Mathematical Society

  2. Ordinary differential equations and systems with time-dependent discontinuity sets

    Royal Society of Edinburgh - Proceedings A, Vol. 134, Núm. 4, pp. 617-637

2003

  1. On first-order ordinary differential equations with nonnegative right-hand sides

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 52, Núm. 8, pp. 1961-1977

  2. Positive solutions for a class of implicit and discontinuous second order functional differential equations with singularities

    Applied Mathematics and Computation, Vol. 137, Núm. 1, pp. 89-99

2002

  1. Existence results and approximation methods for functional ordinary differential equations with singular diffusion-type differential operators

    Computers and Mathematics with Applications, Vol. 44, Núm. 1-2, pp. 111-124

2001

  1. Existencia y unicidad de solución para problemas de difusión singulares y discontinuos

    XVII Congreso de Ecuaciones Diferenciales y Aplicaciones ; VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001

  2. Problemas de frontera sin soluciónes en presencia de una subsolución y una sobresolución bien ordenadas

    XVII Congreso de Ecuaciones Diferenciales y Aplicaciones ; VII Congreso de Matemática Aplicada: Salamanca, 14-28 septiembre 2001