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The Electronic Journal of Differential Equations is hosted by the Department of Mathematics at Texas State University. Since its foundation in 1993, this e-journal has been dedicated to the rapid dissemination of high quality research in mathematics.

Journal Website: http://ejde.math.txstate.edu/

Recent Submissions

  • Attractors of asymptotically periodic multivalued dynamical systems governed by time-dependent subdifferentials 

    Yamazaki, Noriaki (Texas State University-San Marcos, Department of Mathematics, 2004-09-10)
    We study a nonlinear evolution equation associated with time-dependent subdifferential in a separable Hilbert space. In particular, we consider an asymptotically periodic system, which means that time-dependent terms ...
  • Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores 

    Garcia-Melian, Jorge (Texas State University-San Marcos, Department of Mathematics, 2004-09-21)
    In this work we study the problem -div (|∇u|p-2 ∇u) = λƒ(u) in the unit ball of ℝN, with u = 0 on the boundary, where p > 2, and λ is a real parameter. We assume that the nonlinearity ƒ has a zero ū0 > 0 of order k ≥ p-1. ...
  • Isoperimetric inequality for an interior free boundary problem with p-laplacian operator 

    Ly, Idrissa; Seck, Diaraf (Texas State University-San Marcos, Department of Mathematics, 2004-09-14)
    By considering the p-Laplacian operator, we establish an existence and regularity result for a shape optimization problem. From a monotony result, we show the existence of a solution to the interior problem with a free ...
  • Pyramidal central configurations and perverse solutions 

    Ouyang, Tiancheng; Xie, Zhifu; Zhang, Shiqing (Texas State University-San Marcos, Department of Mathematics, 2004-09-10)
    For n-body problems, a central configuration (CC) plays an important role. In this paper, we establish the relation between the spatial pyramidal central configuration (PCC) and the planar central configuration. We prove ...
  • Persistence and extinction of single population in a polluted environment 

    Li, Zhan; Shuai, Zhisheng; Wang, Ke (Texas State University-San Marcos, Department of Mathematics, 2004-09-12)
    In this paper, we consider the ODE system corresponding to a diffusive-convective model for the dynamics of a population living in a polluted environment. Sufficient criteria on persistence and extinction of the population ...
  • Nontrivial solution for a three-point boundary-value problem 

    Sun, Yong-Ping (Texas State University-San Marcos, Department of Mathematics, 2004-09-22)
    In this paper, we study the existence of nontrivial solutions for the second-order three-point boundary-value problem u'' + ƒ(t, u) = 0, 0 < t < 1, u'(0) = 0, u(1) = ɑu'(η). where η ∈ (0, 1), ɑ ∈ ℝ, ƒ ∈ C([0, 1] x ℝ, ℝ). ...
  • From discrete Boltzmann equation to compressible linearized Euler equations 

    Bellouquid, Abdelghani (Texas State University-San Marcos, Department of Mathematics, 2004-09-08)
    This paper concerns the asymptotic analysis of the linearized Euler limit for a general discrete velocity model of the Boltzmann equation. This is done for any dimension of the physical space, for densities which remain ...
  • Stability properties of non-negative solutions of semilinear symmetric cooperative systems 

    Voros, Imre (Texas State University-San Marcos, Department of Mathematics, 2004-09-08)
    We investigate the stability of non-negative stationary solutions of symmetric cooperative semilinear systems with some convex (resp. concave) nonlinearity condition, namely all second-order partial derivatives of each ...
  • Solitary waves for Maxwell-Schrodinger equations 

    Coclite, Giuseppe Maria; Georgiev, Vladimir (Southwest Texas State University, Department of Mathematics, 2004-07-30)
    In this paper we study solitary waves for the coupled system of Schrodinger-Maxwell equations in the three-dimensional space. We prove the existence of a sequence of radial solitary waves for these equations with a fixed ...
  • Entire solutions of semilinear elliptic equations 

    Gladkov, Alexander; Slepchenkov, Nickolai (Southwest Texas State University, Department of Mathematics, 2004-06-23)
    We consider existence of entire solutions of a semilinear elliptic equation ∆u = k(x) ƒ(u) for x ∈ ℝn, n ≥ 3. Conditions of the existence of entire solutions have been obtained by different authors. We prove a certain ...
  • On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems 

    Crema, Janete; Nascimento, Arnaldo Simal do (Southwest Texas State University, Department of Mathematics, 2004-08-12)
    We present necessary conditions for the formation of internal transition layers in stationary solutions to some singularly perturbed reaction-diffusion systems. In particular we prove that the well-known equal-area condition ...
  • The critical case for a semilinear weakly hyperbolic equation 

    Fanelli, Luca; Lucente, Sandra (Southwest Texas State University, Department of Mathematics, 2004-08-24)
    We prove a global existence result for the Cauchy problem, in the three-dimensional space, associated with the equation utt - αλ (t)Δxu = -u|u| p(λ)-1 where αλ(t) ≥ 0 and behaves at (t - t0)λ close to some t0 > 0 with α(t0) ...
  • Blow-up of solutions to a nonlinear wave equation 

    Georgiev, Svetlin G. (Southwest Texas State University, Department of Mathematics, 2004-05-26)
    We study the solutions to the radial 2-dimensional wave equation Xtt - 1/r Xrr + sinh2X/2r2 = g, X(1, r) = X∘ ∈ Ḣγ rad, Xt(1, r) = X1 ∈ Ḣγ-1 rad, where r = |x| and x in ℝ2. We show that this Cauchy problem, with values ...
  • Solution matching for a three-point boundary-value problem on atime scale 

    Eggensperger, Martin; Kaufmann, Eric R.; Kosmatov, Nickolai (Southwest Texas State University, Department of Mathematics, 2004-07-08)
    Let T be a time scale such that t1, t2, t3 ∈ T. We show the existence of a unique solution for the three-point boundary value problem y∆∆∆(t) = ƒ(t, y(t), y∆ (t), y∆∆(t)), t ∈ [t1, t3] ∩ T, y(t1) = y1, y(t2) = y2, y(t3) = ...
  • Dynamic contact with Signorini's condition and slip rate dependent friction 

    Kuttler, Kenneth; Shillor, Meir (Southwest Texas State University, Department of Mathematics, 2004-06-11)
    Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a ...
  • Existence of solutions for a nonlinear degenerate elliptic system 

    Chuong, Nguyen Minh; Ke, Tran Dinh (Southwest Texas State University, Department of Mathematics, 2004-07-27)
    In this paper, we study the existence of solutions for degenerate elliptic systems. We use the sub-super solution method, and the existence of classical and weak solutions. Some sub-supersolutions are constructed explicitly, ...
  • Variational methods for a resonant problem with the p-Laplacian in ℝN 

    Alziary, Benedicte; Fleckinger, Jacqueline; Takac, Peter (Southwest Texas State University, Department of Mathematics, 2004-05-26)
    The solvability of the resonant Cauchy problem -Δpu = λ1m (|x|)|u|p-2 u + ƒ(x) in ℝN; u ∈ D1,p (ℝN), in the entire Euclidean space RN (N ≥ 1) is investigated as a part of the Fredholm alternative at the first (smallest) ...
  • Asymptotic stability for second-order differential equations with complex coefficients 

    Hovhannisyan, Gro R. (Southwest Texas State University, Department of Mathematics, 2004-06-13)
    We prove asymptotical stability and instability results for a general second-order differential equations with complex-valued functions as coefficients. To prove asymptotic stability of linear second-order differential ...
  • Deterministic homogenization of parabolic monotone operators with time dependent coefficients 

    Nguetseng, Gabriel; Woukeng, Jean-Louis (Southwest Texas State University, Department of Mathematics, 2004-06-08)
    We study, beyond the classical periodic setting, the homogenization of linear and nonlinear parabolic differential equations associated with monotone operators. The usual periodicity hypothesis is here substituted by an ...
  • Strongly indefinite functionals with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems 

    Clapp, Monica; Ding, Yanheng; Hernandez-Linares, Sergio (Southwest Texas State University, Department of Mathematics, 2004-08-18)
    We prove a critical-point result which provides conditions for the existence of infinitely many critical points of a strongly indefinite functional with perturbed symmetries. Then we apply this result to obtain infinitely ...

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