Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces

Positive solutions to superlinear semipositone periodic boundary value problems with repulsive weak singular forces

K e y w o r d s P e r i o d i c boundary value problem, Singular, Positive solutions, Fixed-point theorem in cones. 1. I N T R O D U C T I O N In th is paper , we are devoted to s t u d y the exis tence of posi t ive so lu t ions to per iodic b o u n d a r y value problem, x" + a( t )x = f ( t , x), 0 < t < 1, (I . I) x(0) = x(1), x ' (0) = x ' (1) ; here, a( t ) E L i[0, 1] satisfies t h e con...

Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence

Multiple Positive Solutions for Singular Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces

and Applied Analysis 3 where f ∈ C J × E × E × E, E , Ik, Ik ∈ C E, E , and the operators T , S are given by Tu t ∫ t 0 k t, s u s ds, Su t ∫2π 0 k1 t, s u s ds, 1.5 with k ∈ C D,R , D { t, s ∈ R2 : 0 ≤ s ≤ t ≤ 2π}, k1 ∈ C J × J,R . By applying the monotone iterative technique and cone theory based on a comparison result, the author obtained an existence theorem of minimal and maximal solutions...

An Existence Result of Positive Solutions for Singular Superlinear Boundary Value Problems and Its Applications

Multiple Positive Solutions For Impulsive Singular Boundary Value Problems With Integral Boundary Conditions

By constructing an available integral operator and combining fixed point index theory with properties of Green’s function, this paper shows the existence of multiple positive solutions for a class of impulsive singular boundary value problems with integral boundary conditions. Our results extend some recent work in the literature on boundary value problems of ordinary differential equations. We...