Nonlinear boundary value

The thesis proposes a simple but very effective method to study the unique solvability and an iterative method for solving five boundary value problems for nonlinear fourth order ordinary differential equations with different types of boundary conditions and two boundary value problems for a biharmonic equation and a biharmonic equation of Kirchhoff type by using the reduction of these problems to the operator equations for the function to be sought or an intermediate function.

27p larachdumlanat129 20-01-2021 29 3   Download

ON A BOUNDARY VALUE PROBLEM FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS ROBERT HAKL Received 21 August 2004 and in revised form 1 March 2005 We consider the problem u (t) = H(u)(t) + Q(u)(t), u(a) = h(u), where H,Q : C([a,b];R) αβ → L([a,b];R) are, in general, nonlinear continuous operators, H ∈ ab (g0 ,g1 , p0 , p1 ), and h : C([a,b];R) → R is a continuous functional. Efficient conditions sufficient for the solvability and unique solvability of the problem considered are established. 1. Notation The following notation is used throughout the paper: N is the set of all natural numbers....

26p sting12 10-03-2012 53 6   Download

SEMILINEAR PROBLEMS WITH BOUNDED NONLINEAR TERM MARTIN SCHECHTER Received 17 August 2004 We solve boundary value problems for elliptic semilinear equations in which no asymptotic behavior is prescribed for the nonlinear term. 1. Introduction Many authors (beginning with Landesman and Lazer [1]) have studied resonance problems for semilinear elliptic partial differential equations of the form −∆u − λ u = f (x,u) in Ω, u = 0 on ∂Ω, (1.1) where Ω is a smooth bounded domain in Rn , λ is an eigenvalue of the linear problem −∆u = λu in Ω, u = 0 on ∂Ω, (1.

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UNIQUENESS OF POSITIVE SOLUTIONS OF A CLASS OF ODE WITH NONLINEAR BOUNDARY CONDITIONS RUYUN MA AND YULIAN AN Received 19 August 2004 and in revised form 27 January 2005 We study the uniqueness of positive solutions of the boundary value problem u + a(t)u + f (u) = 0, t ∈ (0,b), B1 (u(0)) − u (0) = 0, B2 (u(b)) + u (b) = 0, where 0

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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

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ON DELAY DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS TADEUSZ JANKOWSKI Received 21 July 2004 The monotone iterative method is used to obtain sufficient conditions which guarantee that a delay differential equation with a nonlinear boundary condition has quasisolutions, extremal solutions, or a unique solution. Such results are obtained using techniques of weakly coupled lower and upper solutions or lower and upper solutions. Corresponding results are also obtained for such problems with more delayed arguments.

14p sting12 10-03-2012 39 6   Download

EXISTENCE OF INFINITELY MANY NODAL SOLUTIONS FOR A SUPERLINEAR NEUMANN BOUNDARY VALUE PROBLEM AIXIA QIAN Received 12 January 2005 We study the existence of a class of nonlinear elliptic equation with Neumann boundary condition, and obtain infinitely many nodal solutions. The study of such a problem is based on the variational methods and critical point theory. We prove the conclusion by using the symmetric mountain-pass theorem under the Cerami condition. 1. Introduction Consider the Neumann boundary value problem: − u + αu = f (x,u), ∂u = 0, ∂ν x ∈ Ω, (1.

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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,...

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EXISTENCE AND UNIQUENESS OF SOLUTIONS OF HIGHER-ORDER ANTIPERIODIC DYNAMIC EQUATIONS ALBERTO CABADA AND DOLORES R. VIVERO Received 8 October 2003 and in revised form 9 February 2004 We prove existence and uniqueness results in the presence of coupled lower and upper solutions for the general nth problem in time scales with linear dependence on the ith ∆derivatives for i = 1,2,...,n, together with antiperiodic boundary value conditions. Here the nonlinear right-hand side of the equation is defined by a function f (t,x) which is rd-continuous in t and continuous in x uniformly in t.

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ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS ON TIME SCALES JOHNNY HENDERSON, ALLAN PETERSON, AND CHRISTOPHER C. TISDELL Received 13 August 2003 and in revised form 11 February 2004 This work formulates existence, uniqueness, and uniqueness-implies-existence theorems for solutions to two-point vector boundary value problems on time scales. The methods used include maximum principles, a priori bounds on solutions, and the nonlinear alternative of Leray-Schauder. 1.

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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Positive Solutions of Boundary Value Problems for System of Nonlinear Fourth-Order

12p dauphong18 09-03-2012 33 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: MAXIMUM PRINCIPLES FOR A CLASS OF NONLINEAR SECOND-ORDER ELLIPTIC BOUNDARY VALUE PROBLEMS IN DIVERGENCE FORM CRISTIAN ENACHE

13p dauphong18 09-03-2012 35 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: EXISTENCE OF SOLUTIONS FOR A NONLINEAR ELLIPTIC DIRICHLET BOUNDARY VALUE PROBLEM WITH AN INVERSE SQUARE POTENTIAL

7p dauphong18 09-03-2012 37 6   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR SOME THREE-POINT NONLINEAR BOUNDARY VALUE PROBLEMS

17p dauphong18 09-03-2012 38 4   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Positive Solutions for Nonlinear nth-Order Singular Nonlocal Boundary Value Problems

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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions

13p sting10 07-03-2012 41 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence of Positive Solutions for Boundary Value Problems of Nonlinear Functional Difference Equation with p-Laplacian Operator

12p sting10 07-03-2012 38 3   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Estimation on Certain Nonlinear Discrete Inequality and Applications to Boundary Value Problem

8p sting10 29-02-2012 54 4   Download

Tham khảo luận văn - đề án 'báo cáo hóa học: " research article eigenvalue problems for systems of nonlinear boundary value problems on time scales"', luận văn - báo cáo phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

10p sting10 24-02-2012 60 5   Download

Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Existence of Solutions to Anti-Periodic Boundary Value Problem for Nonlinear Fractional

17p sting05 09-02-2012 59 4   Download