Browsing by Author "Agarwal, Ravi P."
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Asymptotically linear solutions for some linear fractional differential equations
Bleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. (201011)We establish here that under some simple restrictions on the functional coefficient at the fractional differential equation 0Dα t tx − x x0 at x 0,t> 0, has a solution expressible as ct d o1 for t → ∞, ... 
Basic properties of Sobolev's spaces on time scales
Agarwal, Ravi P.; OteroEspinar, Victoria; Perera, Kanishka; Vivero, Dolores R. (20060528)We study the theory of Sobolev's spaces of functions defined on a closed subinterval of an arbitrary time scale endowed with the Lebesgue Δmeasure; analogous properties to that valid for Sobolev's spaces of functions ... 
Browderkrasnoselskiitype fixed point theorems in Banach spaces
Agarwal, Ravi P.; O'Regan, Donal; Taoudi, MohamedAziz (20100402)We present some fixed point theorems for the sum A+B of a weaklystrongly continuous map and a nonexpansive map on a Banach space X. Our results cover several earlier works by Edmunds, Reinermann, Singh, and others. 
Degenerate anisotropic differential operators and applications
Shakhmurov, Veli B.; Agarwal, Ravi P.; O'Regan, Donal (20110223)The boundary value problems for degenerate anisotropic differential operator equations with variable coefficients are studied. Several conditions for the separability and Fredholmness in Banachvalued Lp spaces are given. ... 
Fixed point theorems for wscompact mappings in Banach spaces
Agarwal, Ravi P.; O'Regan, Donal; Taoudi, MohamedAziz (20101124)We present new fixed point theorems for wscompact operators. Our fixed point results are obtained under Sadovskii, LeraySchauder, Rothe, Altman, Petryshyn, and FuriPera type conditions. An example is given to show the ... 
Fixed point theory for Mönchtype maps defined on closed subsets of Fréchet spaces: the projective limit approach
Agarwal, Ravi P.; O'Regan, Donal; Dshalalow, Jewgeni H. (2005)New LeraySchauder alternatives are presented for Mönchtype maps defined between Fréchet spaces. The proof relies on viewing a Fréchet space as the projective limit of a sequence of Banach spaces. 
A FuriPera theorem in Hausdorff topological spaces for acyclic maps
Agarwal, Ravi P.; O'Regan, Donal; Dshalalow, Jewgeni H. (2004)We present new FuriPera theorems for acyclic maps between topological spaces. 
Global Caccioppolitype and Poincaré inequalities with Orlicz norms
Agarwal, Ravi P.; Ding, Shusen (20100314)We obtain global weighted Caccioppolitype and Poincaré inequalities in terms of Orlicz norms for solutions to the nonhomogeneous A harmonic equation d A(x,d)=B(x,d). 
Impulsive semilinear neutral functional differential inclusions with multivalued jumps
Abada, Nadjet; Agarwal, Ravi P.; Benchohra, Mouffak; Hammouche, Hadda (20110407)In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach ... 
Multiple positive solutions of singular discrete pLaplacian problems via variational methods
Agarwal, Ravi P.; Perera, Kanishka; O'Regan, Donal (2005)We obtain multiple positive solutions of singular discrete pLaplacian problems using variational methods. 
Nonlocal conditions for differential inclusions in the space of functions of bounded variations
Agarwal, Ravi P.; Boucherif, Abdelkader (20110624)We discuss the existence of solutions of an abstract differential inclusion, with a righthand side of bounded variation and subject to a nonlocal initial condition of integral type. 
On a generalized timevarying SEIR epidemic model with mixed point and distributed timevarying delays and combined regular and impulsive vaccination controls
Agarwal, Ravi P.; De La Sen, Manuel; Ibeas, Asier; AlonsoQuesada, Santiago (20101214)This paper discusses a generalized timevarying SEIR propagation disease model subject to delays which potentially involves mixed regular and impulsive vaccination rules. The model takes also into account the natural ... 
On sumudu transform and system of differential equations
Kiliçman, Adem; Eltayeb, Hassan; Agarwal, Ravi P. (201003)The regular system of differential equations with convolution terms solved by Sumudu transform. 
On the convergence of an implicit iterative process for generalized asymptotically quasinonexpansive mappings
Agarwal, Ravi P.; Qin, Xiaolong; Kang, Shinmin (20100130)The purpose of this paper is to introduce and consider a general implicit iterative process which includes Schu's explicit iterative processes and Sun's implicit iterative processes as special cases for a finite family of ... 
On the existence of equilibrium points, boundedness, oscillating behavior and positivity of a SVEIRS epidemic model under constant and impulsive vaccination
De La Sen, Manuel; Agarwal, Ravi P.; Ibeas, Asier; AlonsoQuesada, Santiago (20110313)This paper discusses the diseasefree and endemic equilibrium points of a SVEIRS propagation disease model which potentially involves a regular constant vaccination. The positivity of such a model is also discussed as well ... 
On type of periodicity and Ergodicity to a class of fractional order differential equations
Agarwal, Ravi P.; Andrade, Bruno D.; Cuevas, Claudio (20100211)We study several types of periodicity to a class of fractional order differential equations. 
Positive solutions of singular complementary Lidstone boundary value problems
Agarwal, Ravi P.; O'Regan, Donal; Staněk, Svatoslav (20101202)We investigate the existence of positive solutions of singular problem (1)mx(2m+1) = f(t, x,⋯, x(2m)), x (0) = 0, x(2i1) (0) = x(2i1) (T) = 0, 1 ≤ i ≤ m. Here, m ≥ 1 and the Carathéodory function f (t, x0,⋯, x2m) may ... 
Some results for integral inclusions of Volterra type in Banach spaces
Agarwal, Ravi P.; Benchohra, Mouffak; Nieto, Juan Jose; Ouahab, Abdelghani (20101206)We first present several existence results and compactness of solutions set for the following Volterra type integral inclusions of the form: y(t) ∈ ∫0 t a(ts)[Ay(s)+F(s,y(s)) ]ds,a.e.t ∈ J, where J=[ 0,b ], A is the ...