Solvability of multipoint boundary value problems at resonance for higher-order ordinary differential equations
Let f : [0, 1]x R^n -> R be a continuous function and e @? L^1[0, 1]. Let @b"j (1 @? j @? m - 2) @? R, 0 < @h"1 < @h"2 < ... < @h"m"-"2 < 1 be given. This paper is concerned with the existence of solutions for the following n^t^h-order multipoint ...
Convergence and numerical analysis of a family of two-step steffensen's methods
We provide sufficient conditions for the semilocal convergence of a family of two-step Steffensen's iterative methods on a Banach space. The main advantage of this family is that it does not need to evaluate neither any Frechet derivative nor any ...
Toward hp-adaptive solution of 3D electromagnetic scattering from cavities
An effective hp-adaptive finite-element (FE) approach is presented for a reliable and accurate solution of 3D electromagnetic scattering problems. The far field is approximated with the infinite-element method. This allows one to reduce the external ...
Energy states of vertically aligned quantum dot array with nonparabolic effective mass
The electronic properties of a three-dimensional quantum dot array model formed by vertically aligned quantum dots are investigated numerically. The governing equation of the model is the Schrodinger equation which is incorporated with a nonparabolic ...
Competitive strategies of U.S. Presidential candidates in election campaigns
The structure of the Electoral College based U.S. Presidential elections system suggests a certain approach to choosing campaign strategies by U.S. Presidential candidates, and problems associated with finding competitive strategies of the candidates ...
Multiplicity of positive solutions of a class of nonlinear fractional differential equations
This paper is concerned with the nonlinear fractional differential equation L(D)u=f(x,u), u(0)=0, 0 0, j = 1,2,..., n - 1. Some results are obtained for the existence, nonexistence, and multiplicity of positive solutions of the above equation by using ...
Uniformly asymptotically Zhukovskij stable orbits
This article deals with Zhukovskij stability of planar systems. We prove that if the omega limit set of a nonclosed orbit is a stable limit cycle, then, the orbit is uniformly asymptotically Zhukovskij stable.
Positive solutions for a quasilinear elliptic equation of Kirchhoff type
This paper is concerned with the existence of positive solutions to the class of nonlocal boundary value problems of the type -M(@!"@W|@?u|^2dx)@Du=f(x,u),in@W,u=0,on@?@W, where @W is a smooth bounded domain of @?^N, M is a positive function, and f has ...
Exact solution for a two-type customers retrial system
Based on a real problem connected with the landing of aeroplanes we examine a special queuing system, where peculiar conditions prevail. In such systems a request for landing can be serviced upon arrival if the system is free. When other planes are ...
Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
Multivariate interpolation of smooth data using smooth radial basis functions is considered. The behavior of the interpolants in the limit of nearly flat radial basis functions is studied both theoretically and numerically. Explicit criteria for ...
Existence of positive solutions to second-order time scale systems
In this paper, the author consider the following dynamic system on a measure chain, u"i^@D^@D(t)+f"i(t,u"1(@s(t)),u"2(@s(t)),...,u"n(@s(t)))=0,t@?[a,b], satisfying Sturm-Liouville boundary conditions, @a"iu"i(a)-@b"iu"i^@D(a)=0,@c"iu"i(@s(b))+@d"iu"i^@D(...
Zeros and mapping theorems for perturbations of m-accretive operators in Banach spaces
Let X be a real Banach space and T : D(T) @__ __ X -> 2^X be an m-accretive operator. Let C : D(T) @__ __ X -> X be a bounded operator (not necessarily continuous) such that C(T + I)^-^1 is compact. Suppose that for every x @__ __ D(T) with @__ __x@__ __...