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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.

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Recent Submissions

  • Multiplicity of Solutions for Quasilinear Elliptic Boundary-value Problems 

    Addou, Idris (Texas State University, Department of Mathematics, 1999-06-16)
    This paper is concerned with the existence of multiple solutions to the boundary-value problem -(ϕp(uf))f = λϕq (u)+ f (u) in (0, 1) , u(0) = u(1) = 0, where p, q > 1, ϕx(y) = |y|x−2y, λ is a real parameter, and f is a ...
  • Boundary-value Problems for the One-dimensional p-Laplacian with Even Superlinearity 

    Addou, Idris; Benmezai, Abdelhamid (Texas State University, Department of Mathematics, 1999-03-08)
    This paper is concerned with a study of the quasilinear problem −(|uI|p−2uI)I = |u|p − λ, in (0, 1) , u(0) = u(1) = 0, where p >1 and λ ∈ R are parameters. For λ > 0, we determine a lower bound for the number of solutions ...
  • Periodic Traveling Waves for a Nonlocal Integro-differential Model 

    Bates, Peter W.; Chen, Fengxin (Texas State University, Department of Mathematics, 1999-08-19)
    We establish the existence, uniqueness and stability of periodic traveling wave solutions to an intrego-differential model for phase transitions.
  • A Note on Quasilinear Elliptic Eigenvalue Problems 

    Arioli, Gianni (Texas State University, Department of Mathematics, 1999-11-30)
    We study an eigenvalue problem by a non-smooth critical point theory. Under general assumptions, we prove the existence of at least one solution as a minimum of a constrained energy functional. We apply some results on ...
  • The Effect of Thin Coatings on Second Harmonic Generation 

    Ammari, Habib; Bao, Gang; Hamdache, Kamel (Texas State University, Department of Mathematics, 1999-09-20)
    The effect of thin coatings of nonlinear material on second harmonic generation is studied in this paper. Asymptotic expansions of the fields inside a thin nonlinear coating are performed. The convergence of these formal ...
  • On the Prescribed-period Problem for Autonomous Hamiltonian Systems 

    Zevin, A. A. (Texas State University, Department of Mathematics, 1998-02-20)
    Asymptotically quadratic and subquadratic autonomous Hamiltonian systems are considered. Lower bounds for the number of periodic solutions with a prescribed minimal period are obtained. These bounds are expressed in terms ...
  • On a Generalized Reflection Law for Functions Satisfying the Helmholtz Equation 

    Aberra, Dawit (Texas State University, Department of Mathematics, 1999-06-04)
    We investigate a generalized point to point reflection law for the solutions of the Helmholtz equation in two independent variables, obtaining results that include some previously known results of Khavinson and Shapiro as ...
  • Existence of Continuous and Singular Ground States for Semilinear Elliptic Systems 

    Yarur, Cecilia S. (Texas State University, Department of Mathematics, 1998-01-16)
    We study existence results of a curve of continuous and singular ground states for the system. -Δu = α(|x|) f(v) -Δv = β(|x|) g(u), where x ∈ R(N) \ {0}, the functions ∫ and g are increasing Lipschitz continuous functions ...
  • On Multi-Lump Solutions to the Non-Linear Schrodinger Equation 

    Magnus, Robert (Texas State University, Department of Mathematics, 1998-11-15)
    We present a new approach to proving the existence of semi-classical bound states of the non-linear Schrodinger equation which are concentrated near a finite set of non-degenerate critical points of the potential function. ...
  • On Tykhonov's Theorem for Convergence of Solutions of Slow and Fast Systems 

    Lobry, Claude; Sari, Tewfik; Touhami, Sefiane (Texas State University, Department of Mathematics, 1998-07-09)
    Slow and fast systems gain their special structure from the presence of two time scales. Their analysis is achieved with the help of Singular Perturbation Theory. The fundamental tool is Tykhonov's theorem which describes ...
  • Existence and Regularity Results for the Gradient Flow for p-Harmonic Maps 

    Misawa, Masashi (Texas State University, Department of Mathematics, 1998-12-21)
    We establish existence and regularity for a solution of the evolution problem associated to p-harmonic maps if the target manifold has a nonpositive sectional curvature.
  • Stability of Strong Detonation Waves and Rates of Convergence 

    Li, Tong (Texas State University, Department of Mathematics, 1998-03-18)
    In this article, we prove stability of strong detonation waves and find their rate of convergence for a combustion model. Our results read as follows: I) There exists a global solution that converges exponentially in time ...
  • Partial Exact Controllability for the Linear Thermo-Viscoelastic Model 

    Liu, Wei-Jiu; Williams, Graham H. (Texas State University, Department of Mathematics, 1998-06-20)
    The problem of partial exact controllability for linear thermo-viscoelasticity is considered. Using classical multiplier techniques, a boundary observability inequality is established under smallness restrictions on coupling ...
  • Instability of Discrete Systems 

    Naulin, Raul; Vanegas, Carmen J. (Texas State University, Department of Mathematics, 1998-12-08)
    In this paper, we give criteria for instability and asymptotic instability for the null solution to the non-autonomous system of difference equations y(t + 1) = A(t)y(t) + f(t,y(t)), f(t,0) = 0, when the system x(t + 1) ...
  • Existence and Multiplicity of Solutions to a p-Laplacian Equation with Nonlinear Boundary Condition 

    Pfluger, Klaus (Texas State University, Department of Mathematics, 1998-04-10)
    We study the nonlinear elliptic boundary value problem Au = f(x,u) in Ω, Bu = g(x,u) on ∂Ω, where A is an operator of p-Laplacian type, Ω is an unbounded domain in ℝ(N) with non-compact boundary, and f and g are subcritical ...
  • Symmetry and Convexity of Level Sets of Solutions to the Infinity Laplace's Equation 

    Rosset, Edi (Texas State University, Department of Mathematics, 1998-12-09)
    We consider the Dirichlet problem -Δ∞u = f(u) in Ω, u = 0 on ∂Ω, where Δ∞u = u(x)(i), u(x)(j), u(x)(i)(x)j) and f is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical ...
  • Branching of Periodic Orbits from Kukles Isochrones 

    Toni, Bourama (Texas State University, Department of Mathematics, 1998-05-13)
    We study local bifurcations of limit cycles from isochronous (or linearizable) centers. The isochronicity has been determined using the method of Darboux linearization, which provides a birational linearization for the ...
  • On Reaction-Diffusion Systems 

    Oliveira, Luiz Augusto F. de (Texas State University, Department of Mathematics, 1998-10-09)
    We consider reaction-diffusion systems which are strongly coupled. we prove that they generate analytic semigroups, find a characterization for the spectrum of the generator, and present some examples.
  • Stationary Solutions for Generalized Boussinesq Models in Exterior Domains 

    Notte-Cuello, E. A.; Rojas-Medar, M. A. (Texas State University, Department of Mathematics, 1998-10-01)
    We establish the existence of a stationary weak solution of a generalized Boussinesq model for thermally driven convection in exterior domains. We use the fact that the exterior domain can be approximated by interior domains.
  • Quasi-Geostrophic Type Equations with Weak Initial Data 

    Wu, Jiahong (Texas State University, Department of Mathematics, 1998-06-12)
    We study the initial value problem for the quasi-geostrophic type equations ∂θ / ∂t + u • ∇θ + (-Δ)(λ)θ = 0, on ℝ(n) x (0, ∞), θ(x,0) = θ(0)(x), x ∈ ℝ(n), where λ(0 ≤ λ ≤ 1) is a fixed parameter and u = (u(j)) is divergence ...

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