Existence and multiplicity results for some three-point boundary value problems

2007 ◽  
Vol 66 (8) ◽  
pp. 1686-1697 ◽  
Author(s):  
Rahmat Ali Khan ◽  
M. Rafique
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary ◽  
Multiplicity Results ◽  
Existence And Multiplicity

scholarly journals Existence of multiple positive solutions for semipositone fractional boundary value problems

Filomat ◽  
2019 ◽  
Vol 33 (3) ◽  
pp. 749-759 ◽  
Author(s):  
Şerife Ege ◽  
Fatma Topal
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Multiple Positive Solutions ◽  
Point Boundary ◽  
Existence And Multiplicity ◽  
Fractional Differential ◽  
Multiplicity Of Positive Solutions ◽  
Fractional Boundary Value Problems

In this paper, we study the existence and multiplicity of positive solutions to the four-point boundary value problems of nonlinear semipositone fractional differential equations. Our results extend some recent works in the literature.

scholarly journals Multiplicity results for asymmetric boundary value problems with indefinite weights

2004 ◽  
Vol 2004 (11) ◽  
pp. 957-979
Author(s):  
Francesca Dalbono
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Asymptotically Linear ◽  
Topological Methods ◽  
Multiplicity Results ◽  
Existence And Multiplicity ◽  
Rotation Numbers ◽  
Indefinite Weights ◽  
Nodal Properties

We prove existence and multiplicity of solutions, with prescribed nodal properties, to a boundary value problem of the formu″+f(t,u)=0,u(0)=u(T)=0. The nonlinearity is supposed to satisfy asymmetric, asymptotically linear assumptions involving indefinite weights. We first study some auxiliary half-linear, two-weighted problems for which an eigenvalue theory holds. Multiplicity is ensured by assumptions expressed in terms of weighted eigenvalues. The proof is developed in the framework of topological methods and is based on some relations between rotation numbers and weighted eigenvalues.

scholarly journals Existence and Multiplicity Results for Nonlocal Boundary Value Problems with Strong Singularity

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 680
Author(s):  
Chan-Gyun Kim
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Nonlocal Boundary ◽  
Multiplicity Results ◽  
Asymptotic Behaviors ◽  
Nonlocal Boundary Value Problems ◽  
Strong Singularity ◽  
Existence And Multiplicity ◽  
Caratheodory Condition

In this paper, we study singular φ -Laplacian nonlocal boundary value problems with a nonlinearity which does not satisfy the L 1 -Carathéodory condition. The existence, nonexistence and/or multiplicity results of positive solutions are established under two different asymptotic behaviors of the nonlinearity at ∞.

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