Accurate asymptotic formulas for eigenvalues and eigenfunctions of a boundary-value problem of fourth order.
An additive Schwarz preconditioner for the spectral element ocean model formulation of the shallow water equations.
An Age and Spatially Structured Population Model for Proteus Mirabilis Swarm-Colony Development
Proteus mirabilis are bacteria that make strikingly regular spatial-temporal patterns on agar surfaces. In this paper we investigate a mathematical model that has been shown to display these structures when solved numerically. The model consists of an ordinary differential equation coupled with a partial differential equation involving a first-order hyperbolic aging term together with nonlinear degenerate diffusion. The system is shown to admit global weak solutions.
An age-dependent population equation with diffusion and delayed birth process.
An application of a global bifurcation theorem to the existence of solutions for integral inclusions.
An application of the Leray-Schauder degree theory to boundary value problem for third and fourth order differential equations depending on the parameter
An averaging principle for stochastic evolution equations. II.
In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.
An existence result for nonlinear fractional differential equations on Banach spaces.
An existence result for second-order impulsive differential equations with nonlocal conditions.
An existence result of asymptotically stable solutions for an integral equation of mixed type.
An existence theorem for an hyperbolic differential inclusion in Banach spaces
In this paper, we investigate the existence of solutions on unbounded domain to a hyperbolic differential inclusion in Banach spaces. We shall rely on a fixed point theorem due to Ma which is an extension to multivalued between locally convex topological spaces of Schaefer's theorem.
An existence theorem for fractional hybrid differential inclusions of Hadamard type
This paper studies the existence of solutions for fractional hybrid differential inclusions of Hadamard type by using a fixed point theorem due to Dhage. The main result is illustrated with the aid of an example.
An existence theorem of the Leray-Schauder type for four-point boundary value problems
An extension of Fan's fixed point theorem and equilibrium point of an abstract economy
An implicit extragradient method for hierarchical variational inequalities.
An improved existence and uniqueness criterion for periodic solutions of a Duffing type p-Laplacian equation.
An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An infinite level atom coupled to a heat bath.
An Ishikawa-hybrid proximal point algorithm for nonlinear set-valued inclusions problem based on -accretive framework.
An iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces.