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Now showing items 1-10 of 32

#### Positive solutions of singular complementary Lidstone boundary value problems

(2010-12-02)

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

(2004)

We present new Furi-Pera theorems for acyclic maps between topological spaces.

#### Degenerate anisotropic differential operators and applications

(2011-02-23)

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

(2005)

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

(2009-10-26)

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

(2009-01-23)

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

(2010-11-24)

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

(2010-04-02)

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

(2007-06-22)

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

(2012-06-22)

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 ...