[PDF] Top 20 Nodal solutions of second-order two-point boundary value problems

... s ≥ for all r Î [a, b] and s ≠ 0. In the celebrated study [4], Rabinowitz established Rabinowitz’s global bifurcation theory [[4], Theorems 1.27 and 1.40]. However, as pointed out by Dancer [5,6] and López-Gómez [7], the ... See full document

... 2], boundary value problems for second- and higher-order di ff er- ential equations play a very important role in both theory and ...of solutions and positive solutions to ... 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 ... See full document

... fixed point theorem in a cone can be used to obtain positive solutions under more flexible ...conditions. Two examples are given to illustrate the main ... See full document

... For other results on the existence and multiplicity of positive solutions and nodal solutions for boundary value problems of ordinary di ff erential equations based on bifurcation techniq[r] ... See full document

... positive solutions for problem P with Dirichlet boundary condition and the existence and nonexistence part of the result for problem P with two-point boundary ...following ... See full document

... homogeneous boundary value problem corresponding to (1)-(2) is constructed and certain lemmas are ...fractional order boundary value problem (1)-(2) are established using lower and ... See full document

... fixed point theorem of cone expansion and compression of functional type due to Avery et ...positive solutions for FBVP ...fixed point theorem to prove the existence of a positive solution to the ... See full document

... Boundary value problems with p-Laplacian have received a lot of attention in recent ...of solutions or positive solutions and multiple solutions for the local or nonlocal ... See full document

... Webb, JRL, Lan, KQ: Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type.. Topolog Methods Nonlinear Anal J Ju[r] ... See full document

... In the present paper, we assume that there exist n (n ∈ N and n ≥ ) pairs of upper and lower solutions for problem (.)-(.) and the nonlinear f satisfies a Nagumo-like growth condition with respect to u . By ... See full document

... years, boundary value problems BVPs of differential and difference equations have been studied widely and there are many excellent results see Gai et ...critical point theory, Deng and Shi 5 ... See full document

... lower solutions 1–7 manifests itself as an effective and flexible mechanism that offers theoretical as well as constructive existence results in a closed set, generated by the lower and upper ...approximate ... See full document

... The pair (u, v) is a solution of problem (S)–(BC) if and only if (u, v) is a fixed point of operator Q in the space Y. So, we will investigate the existence of fixed points of opera- tor Q. Under assumptions (H1) ... See full document

... To our best knowledge, few papers can be found in the literature for three positive solutions of third-order three-point boundary value problems. Moti- vated greatly by the ... See full document

... In this paper we shall present some methods for the continuous approximation of the solution of the two point real nonlinear boundary value problem.. by the use of spline functions of or[r] ... See full document

... niques, we study the global behavior of the components of nodal solutions of the above problems. Copyright q 2008 Y. An and R. Ma. This is an open access article distributed under the Creative ... See full document

... Superlinear problems with classical boundary value conditions have been considered in many papers, particularly in the second and fourth order cases, with either periodic or separated ... See full document

... of second-order three-point integral boundary value problems at resonance is investigated in this ...intermediate value theorems, we obtain a sufficient condition for the ... See full document

... of second-order equation, the treat- ment method of second-order system does not apply to the problem ...positive solutions of the problem ... See full document