The initial boundary

Research objectives: Using boundary integral observations or observations on a part of the boundary instead of point-wise observations are new approaches to setting the inverse problem and have physical and practical meanings.

27p change03 06-05-2016 47 6   Download

This paper considers a trapped characteristic initial value problem for the spherically symmetric Einstein-Maxwell-scalar field equations. For an open set of initial data whose closure contains in particular Reissner-Nordstr¨m data, o the future boundary of the maximal domain of development is found to be a light-like surface along which the curvature blows up, and yet the metric can be continuously extended beyond it. This result is related to the strong cosmic censorship conjecture of Roger Penrose. ...

55p tuanloccuoi 04-01-2013 59 6   Download

ON A SHOCK PROBLEM INVOLVING A NONLINEAR VISCOELASTIC BAR NGUYEN THANH LONG, ALAIN PHAM NGOC DINH, AND TRAN NGOC DIEM Received 3 August 2004 and in revised form 23 December 2004 We treat an initial boundary value problem for a nonlinear wave equation utt − uxx + K |u|α u + λ|ut |β ut = f (x,t) in the domain 0

22p sting12 10-03-2012 52 4   Download

MULTIPLICITY RESULTS FOR A CLASS OF ASYMMETRIC WEAKLY COUPLED SYSTEMS OF SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS FRANCESCA DALBONO AND P. J. MCKENNA Received 1 November 2004 We prove the existence and multiplicity of solutions to a two-point boundary value problem associated to a weakly coupled system of asymmetric second-order equations. Applying a classical change of variables, we transform the initial problem into an equivalent problem whose solutions can be characterized by their nodal properties.

23p sting12 10-03-2012 40 7   Download

NONSMOOTH AND NONLOCAL DIFFERENTIAL EQUATIONS IN LATTICE-ORDERED BANACH SPACES ¨ SIEGFRIED CARL AND S. HEIKKILA Received 7 September 2004 We derive existence results for initial and boundary value problems in lattice-ordered Banach spaces. The considered problems can be singular, functional, discontinuous, and nonlocal. Concrete examples are also solved. 1. Introduction In this paper, we apply fixed point results for mappings in partially ordered function spaces to derive existence results for initial and boundary value problems in an ordered Banach space E.

15p sting12 10-03-2012 30 4   Download

ON WEAK SOLUTIONS OF THE EQUATIONS OF MOTION OF A VISCOELASTIC MEDIUM WITH VARIABLE BOUNDARY V. G. ZVYAGIN AND V. P. ORLOV Received 2 September 2005 The regularized system of equations for one model of a viscoelastic medium with memory along trajectories of the field of velocities is under consideration. The case of a changing domain is studied. We investigate the weak solvability of an initial boundary value problem for this system. 1. Introduction The purpose of the present paper is an extension of the result of [21] on the case of a changing domain. Let Ωt ∈ Rn , 2 ≤...

31p sting12 10-03-2012 43 6   Download

CONSTRUCTION OF UPPER AND LOWER SOLUTIONS FOR SINGULAR DISCRETE INITIAL AND BOUNDARY VALUE PROBLEMS VIA INEQUALITY THEORY ¨ HAISHEN LU AND DONAL O’REGAN Received 25 May 2004 We present new existence results for singular discrete initial and boundary value problems. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign. 1. Introduction An upper- and lower-solution theory is presented for the singular discrete boundary value problem −∆ ϕ p ∆u(k − 1) = q(k) f k,u(k) , k ∈ N = {1,...

10p sting12 10-03-2012 36 5   Download

FIRST- AND SECOND-ORDER DYNAMIC EQUATIONS WITH IMPULSE F. M. ATICI AND D. C. BILES Received 3 December 2004 and in revised form 11 February 2005 We present existence results for discontinuous first- and continuous second-order dynamic equations on a time scale subject to fixed-time impulses and nonlinear boundary conditions. 1. Introduction We first briefly survey the recent results for existence of solutions to first-order problems with fixed-time impulses. Periodic boundary conditions using upper and lower solutions were considered in [19], using degree theory.

14p sting12 10-03-2012 46 4   Download

ROTHE TIME-DISCRETIZATION METHOD APPLIED TO A QUASILINEAR WAVE EQUATION SUBJECT TO INTEGRAL CONDITIONS ABDELFATAH BOUZIANI AND NABIL MERAZGA Received 27 January 2004 and in revised form 12 February 2004 This paper presents a well-posedness result for an initial-boundary value problem with only integral conditions over the spatial domain for a one-dimensional quasilinear wave equation. The solution and some of its properties are obtained by means of a suitable application of the Rothe time-discretization method. 1.

25p sting12 10-03-2012 41 7   Download

Một số kết quả trên suốt các giải pháp tổng quát ban đầu đầu tiên giá trị vấn đề biên giới mạnh mẽ Schr ¨ hệ thống dinger trong các lĩnh vực với hình nón o điểm trên ranh giới nhất định.

13p phalinh21 01-09-2011 38 3   Download