[PDF] Top 20 Nodal Solutions for a Class of Fourth-Order Two-Point Boundary Value Problems

... 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

... By using bifurcation techniques, this paper investigates the existence of nodal solutions for a class of fourth-order m-point boundary value problems. Our ... See full document

... where f : R → R is continuous, λ ∈ R is a parameter and l is a given constant. Since prob- lem (.) cannot transform into a system of second-order equations, the treatment method of the second-order system ... See full document

... of fourth-order two-point boundary value problems in de- scribing a large class of elastic deflection, there is a wide literature that deals with the existence and ... See full document

... are two arbitrary constants satisfying b  0, a = − 1 b and f  C a b (    ,  0,  ) , 0,   ) ) ...above boundary value problem exist a unique symmetric positive ...fixed point theorem ... See full document

... nontrivial solutions for a non-positive fourth-order two-point boundary value problem (BVP) and the existence of positive solutions for a semipositive ... See full document

... 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

... fixed point theory for completely continuous operator, this paper investigates the existence of positive solutions for a class of fourth-order impulsive boundary value ... See full document

... whose two ends are simply supported, can be described by fourth-order boundary value ...multiple solutions, or even infinitely many solutions for this kind of ... See full document

... used directly in the case. On the other hand, when m-point boundary value condition 1.2 is concerned, the discussion is more difficult since the problem is nonsymmetric and the corresponding operator ... See full document

... conjugate boundary value problems for ...among boundary value problems for (1.1) satisfying 4-point conjugate boundary conditions of the ... See full document

... of order 1 < α ≤ 2, 0 < η < 1, f ∈ C([0, 1] × ...intermediate value theorem, we obtain a sufficient condition for the existence of the solutions for the above fractional order ... See full document

... construct solutions of the aforementioned problems by an iterative method based on the existence of an ordered couple α, β of a lower and an upper ...different boundary value problems ... See full document

... of solutions via lower and upper solutions for boundary value problems (BVPs) associated with integer and fractional order differential ...integer order differential ... 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

... 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

... broader class of nonlinear boundary value problems in a general Banach ...the problems are called semipositone problems, which occur in chemical rector theory, combustion and ... See full document

... positive solutions to BVP ...ear boundary value problems; finally, by employing the Guo-Krasnosel’skii fixed point theorem, some sufficient conditions guaranteeing the existence of a ... See full document

... all order derivatives in f and make use of two continuous convex functionals which will ensure the existence of at least one positive solution to ...fixed point theorem. Ma [8] used fixed ... See full document

... nontrivial solutions to a class of fractional nonlocal multi-point boundary value problems of higher order fractional differential equation, this kind of problems ... See full document