[PDF] Top 20 Nagumo theorems of third-order singular nonlinear boundary value problems

... of third-order non- linear differential equations ...of third-order nonlinear boundary value prob- lems, Du et ...estimate, Nagumo condition, upper and lower ... See full document

... the boundary value problems for nonlinear third order differential equations are ...such boundary value ...such problems obtained by the numerical algorithm ... See full document

... However, to the best of our knowledge, there is no paper published on the existence of multiple positive solutions to nonlinear third-order boundary value problems with inte- ... See full document

... study boundary value problems to non- linear singular fourth-order differential equations, and provide sufficient conditions for the exis- tence and uniqueness of positive ...The ... See full document

... several theorems of existence of monotone positive solutions by using the fixed point index ...the nonlinear term, which is essential for the technique used in ... See full document

... of nonlinear boundary value problems has also been investigated see 26–28 and references ...the nonlinear eigenvalue problems and obtained the existence of an unbounded connected ... See full document

... In this section, existence and comparison results are derived for the smallest and great- est solutions of first order initial value problems. Denote by L 1 loc (a, b], -∞< a < b <∞, the ... See full document

... abstract singular operators (defined in Section ) and we con- sider the existence and multiplicity of fixed points of some nonlinear operators with sin- gular ...of singular systems of multi-point ... See full document

... Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro differential equation in a real Banach ... See full document

... general boundary conditions (see Theorems 3 and 5), covering, as par- ticular cases, the classical Dirichlet, Neumann, periodic and Sturm-Liouville ... See full document

... ficult. In this paper, we use the reducing method to transform BVP (1.1) into a relatively low-order equivalent problem, which could be considered in the space C[0, 1], and is a good way to do this. Some ... See full document

... of boundary value problems (BVPs) for nonlinear q-difference equations is still in an early stage and many aspects of this theory need to be ...of nonlinear third-order ... See full document

... Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlin.. Singular boundary value problems, Bull.[r] ... 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

... the nonlinear term, our current work naturally generalizes and extends the known theorems for Sturm-Liou- ville eigenvalue problems [, –] as well as complements the work of many authors [, ... See full document

... for singular second- order boundary value problems x = µf ( t, x, x ), ax (0) − bx (0) = k ≥ 0, x ( ∞ ) = 0, where f may be singular at x = 0 and x = 0 and can change ... See full document

... Recently, third- order boundary value problems have been studied extensively in the literature see, ...following third-order boundary value ... See full document

... of nonlinear singular two-point boundary value ...The order of convergence of the method for such a general class of problems is higher than the previous reported ...fourth- ... See full document

... the boundary conditions given in (1.2) through (1.7).) Those boundary value problems govern the equilibrium states of a ...a nonlinear lateral constraint ...fourth-order ... See full document

... a nonlinear case was considered in ...its order of convergence and to obtain the optimal order of convergence h 2 under an easily checked condition on ... See full document