[PDF] Top 20 Bifurcation theory of nonlinear boundary value problems

... BIFURCATION THEORY OF NONLINEAR BOUNDARY VALUE PROBLEMS Thesis by William Finlay Langford In Partial Fulfillment of the Requirements For the Degree of Doctor of Philosophy California Institute of Tech[.] ... See full document

... multi-point boundary value problems we refer the reader to ...on nonlinear term plays an important role for boundary value ...multi-point boundary value ... See full document

... Multipoint boundary value problems BVPs arise in different areas of applied mathematics and ...Multipoint boundary value problem 1. Many problems in the theory of elastic ... 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 is ... See full document

... initial-boundary value problem for Benjamin-Ono equation on a ...important problems of the theory of nonlinear partial di ff erential equations, such as global in time existence of ... See full document

... Boundary value problems with integral boundary conditions constitute a very interesting and important class of ...nonlocal boundary value problems as special cases. ... See full document

... multipoint boundary value problems arise in a variety of different areas of applied mathematics and ...multipoint boundary value problem 2; also many problems in the theory ... See full document

... In accordance with the method in the proof of Theorem 3.2, we can prove that the boundary value problem (3.20), (3.21) has a unique solution u x   . Denote by u x     T u x     the mapping from ... 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 ...point theory, Deng and Shi 5 studied the ... See full document

... integral boundary conditions arise naturally in thermal conduction prob- lems [], semiconductor problems [], hydrodynamic problems ...notes boundary conditions) cover multi-point BCs and ... See full document

... in boundary value problems for nonlinear ordinary differential equations,” in Handbook of Differential Equations: Ordinary Differential ... See full document

... In 1988 Stefan Hilger introduced the idea of time scales as a way to unify continuous and discrete analysis. A time scale, denoted T , is defined to be any closed subset of the real line. Clearly both R and Z are time ... See full document

... Our approach will depend on the nature of the kernel of L. If L is invertible we establish conditions for the solvability of (7) by finding a fixed point of the map L −1 F . When L is not invertible, the situation is far ... See full document

... Since the existence of solutions is relatively straightforward when L is invertible, the more interesting case is when ker(L) or, equivalently, ker(B + DΓ(1)) is nontrival. In this chapter, we consider the case when the ... See full document

... fractional boundary value problem with integral boundary con- ditions, let us refer to Vong ...ary value problem for a class of singular fractional differential equations with an integral ... See full document

... Heinz, “Existence and gap-bifurcation of multiple solutions to certain nonlinear eigenvalue problems,” Nonlinear Analysis: Theory, Methods & Applications , vol. Yang, “Multiple solut[r] ... See full document

... “Periodic boundary value problems for second order impulsive di ff erential systems,” Nonlinear Analysis: Theory, Methods & Applications, ...of nonlinear systems of ... See full document

... engineering, nonlinear fourth- order two-point boundary value problems have received wide attentions see 7–12 and references ...the boundary value problem ... See full document

... equation boundary value problems, for example ...these problems, for example sub-super-solution method, fixed point theorem, monotone iterative method, coincidence degree, variational ... See full document

... Shakhmurov, “Nonlinear abstract boundary-value problems in vector-valued function spaces and applications,” Nonlinear Analysis: Theory, Methods & Applications , vol.. Shakhmurov, “Th[r] ... See full document