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Now showing items 1-10 of 11

#### Multidimensional Kolmogorov-Petrovsky test for the boundary regularity and irregularity of solutions to the heat equation

(2005)

This paper establishes necessary and sufficient condition for the regularity of a characteristic top boundary point of an arbitrary open subset of ( ) for the diffusion (or heat) equation. The result implies asymptotic ...

#### 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.

#### A positive solution for singular discrete boundary value problems with sign-changing nonlinearities

(2005-03-02)

This paper presents new existence results for the singular discrete boundary value problem - Δ²u(k - 1) = g(k, u(k)) + λh(k,u(k)), k ∈ [1,T], u(0) = 0 = u(T + 1). In particular, our nonlinearity may be singular in its ...

#### Set differential equations with causal operators

(2005-04-28)

We obtain some basic results on existence, uniqueness, and continuous dependence of solutions with respect to initial values for set differential equations with causal operators.

#### Generalized flow invariance for differential inclusions

(2005-05-12)

We introduce a generalized notion of invariance for differential inclusions, using a proximal aiming condition in terms of proximal normals. A set of sufficient conditions for the weak and strong invariance in the generalized ...

#### On some inequalities for beta and gamma functions via some classical inequalities

(2005-10-31)

We improve several results recently established by Dragomir et al. in (2000) for the Gamma and Beta functions. All we need is some clever applications of classical inequalities. Copyright © 2005 Hindawi Publishing Corporation.

#### Linear functional differential equations possessing solutions with a given growth rate

(2005-02-01)

We establish optimal, in a sense, conditions under which, for arbitrary forcing terms from a suitable class, a linear inhomogeneous functional differential equation in a preordered Banach space possesses solutions satisfying ...

#### Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach

(2005)

New Leray-Schauder alternatives are presented for Mönch-type maps defined between Fréchet spaces. The proof relies on viewing a Fréchet space as the projective limit of a sequence of Banach spaces.

#### On the existence of multiple periodic solutions for the vector p-laplacian via critical point theory

(2005-12)

We study the vector p-Laplacian
(∗){−(|u′|p−2u′)′=∇F(t,u)a.e.t∈[0,T],u(0)=u(T),u′(0)=u′(T),1<p<∞.
(∗){u(0)=u(T),u′(0)=u′(T),1<p<∞.−(|u′|p−2u′)′=∇F(t,u)a.e.t∈[0,T],
We prove that there exists a sequence (un) of solutions ...

#### General existence principles for nonlocal boundary value problems with ø-laplacian and their applications

(2005-05-12)

The paper presents general existence principles which can be used for a large class of nonlocal boundary value problems of the form (ø(x′)) ′ = f1(t,x,x′) + f2(t,x,x′)F 1X + f3(t,x,x′)f2x,α(x) = 0, β(x) = 0, where fj satisfy ...