Now showing items 1-10 of 32
Positive solutions of singular complementary Lidstone boundary value problems
We investigate the existence of positive solutions of singular problem (-1)mx(2m+1) = f(t, x,⋯, x(2m)), x (0) = 0, x(2i-1) (0) = x(2i-1) (T) = 0, 1 ≤ i ≤ m. Here, m ≥ 1 and the Carathéodory function f (t, x0,⋯, x2m) may ...
A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps
We present new Furi-Pera theorems for acyclic maps between topological spaces.
Degenerate anisotropic differential operators and applications
The boundary value problems for degenerate anisotropic differential operator equations with variable coefficients are studied. Several conditions for the separability and Fredholmness in Banach-valued Lp spaces are given. ...
Multiple positive solutions of singular discrete p-Laplacian problems via variational methods
We obtain multiple positive solutions of singular discrete p-Laplacian problems using variational methods.
An approximation approach to eigenvalue intervals for singular boundary value problems with sign changing and superlinear nonlinearities
This paper studies the eigenvalue interval for the singular boundary value problem u″ = g (t, u) + λ h (t, u), t ∈(0, 1),u (0) = 0 = u (1), where g + h may be singular at u = 0, t = 0, 1, and may change sign and be superlinear ...
Constant sign and nodal solutions for problems with the p-Laplacian and a nonsmooth potential using variational techniques
We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition. Using a variational approach based on nonsmooth critical point ...
Fixed point theorems for ws-compact mappings in Banach spaces
We present new fixed point theorems for ws-compact operators. Our fixed point results are obtained under Sadovskii, Leray-Schauder, Rothe, Altman, Petryshyn, and Furi-Pera type conditions. An example is given to show the ...
Browder-krasnoselskii-type fixed point theorems in Banach spaces
We present some fixed point theorems for the sum A+B of a weakly-strongly continuous map and a nonexpansive map on a Banach space X. Our results cover several earlier works by Edmunds, Reinermann, Singh, and others.
Constant-sign solutions of a system of integral equations with integrable singularities
We consider the following systems of Fredholm integral equations and the system of Volterra integral equations where the nonlinearities fi, 1 ≤ i ≤ n may be singular in the independent variable and may also be singular at ...
Fixed point theorems for convex-power condensing operators relative to the weak topology and applications to volterra integral equations
In this paper we present new fixed point theorems for weakly sequentially continuous mappings which are convex-power condensing relative to a measure of weak noncompactness. Our fixed point results extend and improve several ...