[PDF] Top 20 Existence of Solutions for point Boundary Value Problems on a Half Line

... Combining 3.9–3.13, we can see that T ·, λ is continuous. Let B ⊂ X be a bounded subset; it is easy to prove that TB is uniformly bounded. In the same way, we can prove 3.5,3.6, and 3.12, we can also show that TB is ... See full document

... the existence and asymptotic behavior of solutions for weighted pt- Laplacian system multipoint boundary value problems in half ...the existence of solutions via ... See full document

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

... upper solutions. Wei ([15]) constructed the method of upper and lower solutions for three-point boundary value problems and gave the sufficient and necessary conditions for the ... See full document

... Boundary value problems on half-line occur in various applications such as in the study of the unsteady flow of a gas through semi-infinite porous medium, in analyzing the heat transfer ... See full document

... the existence of symmetric positive solutions for ordinary differential equation boundary value problems; for example, see [–] and the references ...multi-point boundary ... See full document

... multi-point boundary value problems we refer the reader to ...for boundary value ...the existence of positive solutions for multi-point boundary ... See full document

... We establish new results on the existence of positive solutions for the multi-point boundary value problem at resonance on the half-line. Our results are based on the ... See full document

... the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential ...the existence and ... See full document

... the existence of positive solutions for a class of fractional multi-point boundary value problems under different resonant ...new existence results are ... See full document

... the existence and asymptotic behavior of solutions for weighted p t - Laplacian integro-differential system with multipoint and integral boundary value condition in half ...the ... See full document

... (, ∞ ) → [, ∞ ) is continuous, that is, f (t, u) may be singular at t = ,  and u = . By constructing a special cone and using an approximation method and fixed point index theory, the authors obtained some ... See full document

... Choose αt −t, βt t and γ t t. It is easy to check that αt −t, and βt t are lower and upper solutions of BVP 3.66, 3.67 respectively, and all the assumptions in Theorem 3.2 are satisfied. Therefore by Theorem 3.2 ... 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

... the existence and multiplicity of positive solutions for nonlinear differential equations on time scales have been studied by some authors [7-11], and there has been some merging of existence of ... 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 ...the existence of solutions and positive ... See full document

... the existence of solutions to the fractional order boundary value problem ...fixed point theorems such as Banach contraction principle and Schaefer’s fixed point ... See full document

... subject to the boundary conditions u(0) = u (0) = u (0) = 0 and u (1) – α u ( η ) = λ . In this setting, 0 < η < 1 and α ∈ [0, η 1 ) are constants and λ ∈ [0, +∞) is a parameter. By imposing a sufficient ... 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

... Impulsive differential equations are a basic tool to study evolution processes that are subjected to abrupt changes in their state. For instance, many biological, physical, and engineering applications exhibit impulsive ... See full document