[PDF] Top 20 Nonlinear fourth order boundary value problem

... second order nonlinear boundary value ...second order nonlinear boundary value problem on the semi-infinite interval [, ... See full document

... The questions in this paper involve (i) whether uniqueness of solutions of (1.1), (1.2) implies uniqueness of solutions of (1.1), (1. j), j = 4, 6, 8, and (ii) whether uniqueness of solutions of (1.1), (1.j), j = 4,. . . ... See full document

... for nonlinear fourth-order semipositone multi-point boundary value ...the nonlinear term f not only involve with the first-order and the second-order derivatives ... See full document

... on G which are related to y do not give the necessary, a priori, estimates to obtain existence of a solution to the boundary value problems (1.1). It is the purpose of this paper to show that necessary, a ... See full document

... the problem by potential well theory is still not considered for μ = ...this problem by a concavity method and potential well ...initial boundary value problem for ... See full document

... f (t, x) ≥ c(t)x, (t, x) ∈ [, ] × [, ∞). (.) It is the purpose of this paper to study the existence of positive solutions of (.) un- der conditions (A), (H), (H) and (H). The main tool we use is the following ... See full document

... In this paper we used a nonpolynomial Quintic spline function to develop numerical algorithms of system of nonlinear third order boundary value problems. Here the result obtained by our ... See full document

... to t, respectively, f ∈ C([, ] × R, R), A and B are two real constants. System (.) has been studied in [–] and the references therein. For a beam, t =  and t =  in (.) refer to the two ends of the beam. At ... See full document

... 12 I. T. Kiguradze and B. L. Shekhter, “Singular boundary value problems for second-order ordinary differential equations,” Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Novejshie Dostizh., vol. 30, ... See full document

... perturbed boundary value problems for higher order nonlinear ordinary differential equations, which have important applications in Fluid Dynamics, can be found in [1,2,6- ...considered ... See full document

... two-point boundary value problem for the fourth-order nonlinear differential equation with an exponential nonlinearity, for a two-point boundary value ... See full document

... Case 4. Assume that qx ∈ C 4 0, π and the conditions q j π − q j 0 0, j 0, 2 and q π − q 0 / 0 hold. Based on the asymptotic expressions of the fundamental solutions of 1.1 and the asymptotic formulas for eigenvalues of ... See full document

... where the constants a, b, c, and d ≥ 0 are chosen suitable positive. At these cases, we do not use the related Green’s function. Thus, our approach is applicable in cases where we cannot construct a Green’s function or ... See full document

... that is, f is asymptotic linear near . Contrary to the condition in [], f is superlinear near ∞ according to (H), then we cannot find a constant f ∗ >  such that f (s) ≤ f ∗ s for all s ≥ . This will bring great ... See full document

... the problem (1.1) cannot transform into a system of second-order equation, the treat- ment method of second-order system does not apply to the problem ... See full document

... In section 2, we introduce abstract version of such type of hothesis to obtain existence result for the general nonlinear equation Lu- Nu; that result will then be applied to the periodi[r] ... See full document

... In this paper, we establish spectrum properties of (.) in Section  and use the global bifurcation techniques on time scales (see Davidson and Rynne [, Theorem .] or Luo and Ma []) to discuss the existence of ... See full document

... INTRODUCTION Fourth order boundary value problems arise in the study of the equilibrium of an.. elastic beam under an external load, e.g., see.[r] ... See full document

... The study of dynamic equations on time scales goes back to its founder Hilger 3 and it is a new area of still fairly theoretical exploration in mathematics. In the recent years boundary value problem ... See full document

... years, boundary-value problems for second and higher order differential equations have been extensively ...the boundary value problem ... See full document