Publications
Browse by
Recent Submissions

Existence of pseudo almost automorphic solutions for the heat equation with Sppseudo almost automorphic coefficients
(20090817)We obtain the existence of pseudo almost automorphic solutions to the Ndimensional heat equation with Sppseudo almost automorphic coefficients. 
Existence of solutions for discontinuous functional equations and elliptic boundaryvalue problems
(2002)We prove existence results for discontinuous functional equations in general Lpspaces and apply these results to the solvability of implicit and explicit elliptic boundaryvalue problems involving discontinuous nonlinearities. ... 
Twopoint boundary value problems for higherorder linear differential equations with strong singularities
(20060103)For strongly singular higherorder linear differential equations together with twopoint conjugate and rightfocal boundary conditions, we provide easily verifiable best possible conditions which guarantee the existence ... 
Constant sign and nodal solutions for problems with the pLaplacian and a nonsmooth potential using variational techniques
(20090123)We consider a nonlinear elliptic equation driven by the pLaplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition. Using a variational approach based on nonsmooth critical point ... 
An approximation approach to eigenvalue intervals for singular boundary value problems with sign changing and superlinear nonlinearities
(20091026)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 ... 
Fixed point theorems for convexpower condensing operators relative to the weak topology and applications to volterra integral equations
(20120622)In this paper we present new fixed point theorems for weakly sequentially continuous mappings which are convexpower condensing relative to a measure of weak noncompactness. Our fixed point results extend and improve several ... 
General existence principles for nonlocal boundary value problems with ølaplacian and their applications
(20050512)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 ... 
On random topological structures
(20110406)We present some topics about random spaces. The main purpose of this paper is to study topological structure of random normed spaces and random functional analysis. These subjects are important to the study of nonlinear ... 
On some inequalities for beta and gamma functions via some classical inequalities
(20051031)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. 
New retarded integral inequalities with applications
(20080429)Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004). These inequalities can be used as basic tools in the study of ... 
BirkhoffKellogg theorems on invariant directions for multimaps
(20011211)We establish BirkhoffKellogg type theorems on invariant directions for a general class of maps. Our results, in particular, apply to Kakutani, acyclic, O'Neill, approximable, admissible, and script U signCK maps. 
Activity coefficient and the Einstein relation
(19830715)A connection between the activity coefficient of current carriers and the Einstein relations is established by two methods, one based on normal semiconductor concepts and one based on irreversible thermodynamics. The ... 
Linear functional differential equations possessing solutions with a given growth rate
(20050201)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 ... 
New integral inequalities for iterated integrals with applications
(20080206)Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations. 
On the existence of multiple periodic solutions for the vector plaplacian via critical point theory
(200512)We study the vector pLaplacian (∗){−(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 ... 
Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach
(200704)This paper studies the existence of solutions to the singular boundary value problem {−u′′=g(t,u)+(h,u),t∈(0,1),u(0)=0=u(1), {−u″=g(t,u)+(h,u),t∈(0,1),u(0)=0=u(1), , where g: (0, 1) × (0, ∞) → ℝ and h: (0, 1) × [0, ∞) ... 
Dead cores of singular Dirichlet boundary value problems with φLaplacian
(200808)The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (ϕ(u′))′ = λf(t, u, u′), u(0) = u(T) = A. Here λ is the positive parameter, A > ...