[PDF] Top 20 Existence of Solutions to Nonlinear Boundary Value Problems at Higher Dimensional Resonance.

... are elements of R n , B and D are n × n matrices, and in order to have a linearly independent system of boundary conditions, we assume the augmented matrix [B|D] has full row rank. ε is a “small” real parameter, ... See full document

... of nonlinear boundary value problems for both continuous and discrete dynamical ...study nonlinear differential equations subject to two-point boundary conditions, while in ... See full document

... Trofimchuk, Existence of a solution of a three-point boundary value problem and the spectral radius of a related linear operator, Nonlinear ... See full document

... It is well-known that [17,18] if the second order linear Equation (1.4) has a positive solution or nonoscillatory at ∞, then there exist two linearly independent solutions u(t) and v(t), called principal and ... See full document

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

... A boundary value problem is called resonance if the corresponding homogeneous boundary value problem has a nontrivial ...fractional boundary value problems at ... See full document

... of existence of positive solutions for fractional order differential equations satisfying initial (or) boundary conditions to mention a few references [15, 16, 18, ...positive solutions and ... See full document

... global existence, the authors of [1] used the Galerkin ap- proximation method and the monotonicity method (see ...the existence and uniqueness of weak solutions to a class of nonlinear beam ... See full document

... 6. Diethelm, K, Freed, AD: On the solution of nonlinear fractional order differential equations used in the modeling of viscoplasticity. In: Keil, F, Mackens, W, Voss, H, Werther, J (eds.) Scientific Computing in ... See full document

... and boundary value problems for nonlinear differential equations,” in Topological Methods for Ordinary Differential Equations, ...in Nonlinear Boundary Value ... See full document

... the boundary value problems (BVPs for short) of fractional differential ...non-resonance boundary value condition, the integer order Sturm-Liouville BVPs have been studied for a ... See full document

... years, boundary value problems of differential and difference equations have been studied widely and there are many excellent results (see Erbe and Wang [1], Grimm and Schmitt [2], Gustafson and ... See full document

... Now, we prove Theorem . by Lemma .-. and the intermediate value theorem. Proof of Theorem . It is obvious that the right-hand side of (.) is continuously de- pendent on the parameter μ, so we need to ... See full document

... and Boundary Value Problems for Nonlinear Differential Equations in Topological Methods for Ordinary Differential ...A Boundary Value Problem of Fractional Order at ... See full document

... have become the assumptions in the searching for positive solutions of singular second-order equations and systems; see for instance Chu and Torres 2, Chu et al. 3, Franco and Torres 4, Jiang et al. 5, and Torres ... See full document

... of existence of discrete boundary value problems and obtain various conditions for the existence of at least two nontrivial solutions for the BVP ... See full document

... The main features in this paper are as follows. First, we study two new multi-point BVPs on time scales at resonance, which have rarely been considered, and thus we need to over- come some new difficulties. Second, ... See full document

... of nonlinear fractional multipoint boundary value problems at resonance is considered in this ...The existence results are obtained by the method of the coincidence degree theory ... See full document

... Fourth-order nonlinear differential equations have many applications such as balancing condition of an elastic beam which may be described by nonlinear fourth-order ordinary differential ...for ... See full document

... A boundary value problem is said to be at resonance one if the corresponding homoge- neous boundary value problem has non-trivial ...the boundary value problems at ... See full document