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Full-Text Articles in Mathematics
On The Existence Of Multiple Periodic Solutions For The Vector P-Laplacian Via Critical Point Theory, Haishen Lu, Donal O'Regan, Ravi P. Agarwal
On The Existence Of Multiple Periodic Solutions For The Vector P-Laplacian Via Critical Point Theory, Haishen Lu, Donal O'Regan, Ravi P. Agarwal
Mathematics and System Engineering Faculty Publications
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
On Some Inequalities For Beta And Gamma Functions Via Some Classical Inequalities, Ravi P. Agarwal, Neven Elezović, Josip Pecaric
On Some Inequalities For Beta And Gamma Functions Via Some Classical Inequalities, Ravi P. Agarwal, Neven Elezović, Josip Pecaric
Mathematics and System Engineering Faculty Publications
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.
Singular Positone And Semipositone Boundary Value Problems Of Second Order Delay Differential Equations, Daqing Jiang, Xiaojie Xu, Donal O'Regan, Ravi P. Agarwal
Singular Positone And Semipositone Boundary Value Problems Of Second Order Delay Differential Equations, Daqing Jiang, Xiaojie Xu, Donal O'Regan, Ravi P. Agarwal
Mathematics and System Engineering Faculty Publications
In this paper we present some new existence results for singular positone and semipositone boundary value problems of second order delay differential equations. Throughout our nonlinearity may be singular in its dependent variable.
General Existence Principles For Nonlocal Boundary Value Problems With Ø-Laplacian And Their Applications, Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk
General Existence Principles For Nonlocal Boundary Value Problems With Ø-Laplacian And Their Applications, Ravi P. Agarwal, Donal O'Regan, Svatoslav Staněk
Mathematics and System Engineering Faculty Publications
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 local Carathéodory conditions on some [0,T] × Dj ⊂ ℝ, fj are either regular or have singularities in their phase variables (j = 1,2,3), f i, : C1[0.T] → C0[0,T] (i = 1,2), and α,β : C1[0.T] → ℝ are continuous. The proofs are based on the Leray-Schauder degree theory and use regularization and sequential techniques. Applications of general existence principles …
Set Differential Equations With Causal Operators, Zahia Drici
Set Differential Equations With Causal Operators, Zahia Drici
Mathematics and System Engineering Faculty Publications
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.
Multidimensional Kolmogorov-Petrovsky Test For The Boundary Regularity And Irregularity Of Solutions To The Heat Equation, Ugur G. Abdulla
Multidimensional Kolmogorov-Petrovsky Test For The Boundary Regularity And Irregularity Of Solutions To The Heat Equation, Ugur G. Abdulla
Mathematics and System Engineering Faculty Publications
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 probability law for the standard -dimensional Brownian motion.
Fixed Point Theory For Mönch-Type Maps Defined On Closed Subsets Of Fréchet Spaces: The Projective Limit Approach, Ravi P. Agarwal, Donal O'Regan, Jewgeni H. Dshalalow
Fixed Point Theory For Mönch-Type Maps Defined On Closed Subsets Of Fréchet Spaces: The Projective Limit Approach, Ravi P. Agarwal, Donal O'Regan, Jewgeni H. Dshalalow
Mathematics and System Engineering Faculty Publications
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.
Multiple Positive Solutions Of Singular Discrete P-Laplacian Problems Via Variational Methods, Ravi P. Agarwal
Multiple Positive Solutions Of Singular Discrete P-Laplacian Problems Via Variational Methods, Ravi P. Agarwal
Mathematics and System Engineering Faculty Publications
We obtain multiple positive solutions of singular discrete p-Laplacian problems using variational methods.