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Birkhoff-Kellogg theorems on invariant directions for multimaps

-Schauder condition , Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 61 ( 1976 ), no. 3-4 , 193 - 194 . Ravi P. Agarwal : Department of Mathematical Sciences, Florida Institute of Technology

Birkhoff-Kellogg theorems on invariant directions for multimaps

-Schauder condition , Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 61 ( 1976 ), no. 3-4 , 193 - 194 . Ravi P. Agarwal : Department of Mathematical Sciences, Florida Institute of Technology

A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps

special retract of E? provided we assume (2.9) and replace (2.1) with (2.10). Remark 2.8. In Theorem 2.6, note (2.11) could be replaced by (2.12). Ravi P. Agarwal: Department of Mathematical Sciences

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

Hindawi Publishing Corporation International Journal of Mathematics and Mathematical Sciences RAVI P. AGARWAL JEWGENI H. DSHALALOW DONAL O'REGAN New Leray-Schauder alternatives are presented for Mo ... ( 2000 ), no. 2 , 594 - 612 . Ravi P. Agarwal: Department of Mathematical Sciences, College of Science, Florida Institute of Technology, Melbourne, FL 32901 -6975, USA E-mail address: Jewgeni H. Dshalalow

A singular initial value problem for some functional differential equations

Hindawi Publishing Corporation Journal of Applied Mathematics and Stochastic Analysis RAVI P. AGARWAL 0 DONAL O'REGAN 0 OLEKSANDR E. ZERNOV 0 0 Donal O'Regan: Department of Mathematics, National ... ? > 0 and ui ? , i ? {1, 2}. Therefore T : ? is the continuous operator. To complete the proof of the theorem, it suffices to apply the Schauder fixed point theorem to the operator T : . ? Ravi P

A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps

special retract of E? provided we assume (2.9) and replace (2.1) with (2.10). Remark 2.8. In Theorem 2.6, note (2.11) could be replaced by (2.12). Ravi P. Agarwal: Department of Mathematical Sciences

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

Hindawi Publishing Corporation International Journal of Mathematics and Mathematical Sciences RAVI P. AGARWAL JEWGENI H. DSHALALOW DONAL O'REGAN New Leray-Schauder alternatives are presented for Mo ... ( 2000 ), no. 2 , 594 - 612 . Ravi P. Agarwal: Department of Mathematical Sciences, College of Science, Florida Institute of Technology, Melbourne, FL 32901 -6975, USA E-mail address: Jewgeni H. Dshalalow

A singular initial value problem for some functional differential equations

Hindawi Publishing Corporation Journal of Applied Mathematics and Stochastic Analysis RAVI P. AGARWAL 0 DONAL O'REGAN 0 OLEKSANDR E. ZERNOV 0 0 Donal O'Regan: Department of Mathematics, National ... ? > 0 and ui ? , i ? {1, 2}. Therefore T : ? is the continuous operator. To complete the proof of the theorem, it suffices to apply the Schauder fixed point theorem to the operator T : . ? Ravi P

Compactness criteria and new impulsive functional dynamic equations on time scales

P Agarwal 1 Donal O'Regan 0 0 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland , Galway , Ireland 1 Department of Mathematics, Texas A&M University-Kingsville

Structure of the solution set for a partial differential inclusion

In this paper, we consider the biharmonic problem of a partial differential inclusion with Dirichlet boundary conditions. We prove existence theorems for related partial differential inclusions with convex and nonconvex multivalued perturbations, and obtain an existence theorem on extremal solutions, and a strong relaxation theorem. Also we prove that the solution set is compact...

Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus

The aim of this paper is to correct some ambiguities and inaccuracies in Agarwal et al. (Commun. Nonlinear Sci. Numer. Simul. 20(1):59-73, 2015; Adv. Differ. Equ. 2013:302, 2013, doi:10.1186/1687-1847-2013-302) and to present new ideas and approaches for fractional calculus and fractional differential equations in nonreflexive Banach spaces.

Multiplicity and uniqueness results for the singular nonlocal boundary value problem involving nonlinear integral conditions

In this paper, using fixed point index and the mixed monotone technique, we present some multiplicity and uniqueness results for the singular nonlocal boundary value problems involving nonlinear integral conditions. Our nonlinearity may be singular in its dependent variable and it is allowed to change sign.

Fixed-point theorems for nonlinear operators with singular perturbations and applications

In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an application we consider the existence and multiplicity of positive solutions of singular systems of multi-point boundary value problems, which improve the results in the literature.

Positive solutions for a sixth-order boundary value problem with four parameters

This paper investigates the existence and multiplicity of positive solutions of a sixth-order differential system with four variable parameters using a monotone iterative technique and an operator spectral theorem.MSC: 34B15, 34B18.

Linear impulsive Volterra integro-dynamic system on time scales

Ravi P Agarwal Abdul Sami Awan Donal O'Regan Awais Younus 0 1 0 Centre for Advanced Studies in Pure and Applied Mathematics, B. Z. University , Multan , Pakistan 1 Abdus Salam School of Mathematical

A Schauder fixed point theorem in semilinear spaces and applications

In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces. MSC:34A07, 34A08.

Properties of solutions of fourth-order differential equations with boundary conditions

In this paper, we establish some sufficient conditions for ( 2 , 2 ) -disconjugacy and study the distribution of zeros of nontrivial solutions of fourth-order differential equations. The results are extended to cover some boundary value problems in bending of beams. The main results are proved by making use of a generalization of Hardy’s inequality and some Opial-type...

Multi-term fractional differential equations in a nonreflexive Banach space

In this paper we establish an existence result for the multi-term fractional differential equation ( D α m − ∑ i = 1 m − 1 a i D α i ) u ( t ) = f ( t , u ( t ) ) for  t ∈ [ 0 , 1 ] , u ( 0 ) = 0 , (1) where D p α m y ( ⋅ ) and D p α i y ( ⋅ ) are fractional pseudo-derivatives of a weakly absolutely continuous and pseudo-differentiable function u ( ⋅ ) : T → E of order α m and...

Multi-term fractional differential equations in a nonreflexive Banach space

In this paper we establish an existence result for the multi-term fractional differential equation (Dαm−∑i=1m−1aiDαi)u(t)=f(t,u(t))for t∈[0,1],u(0)=0, where Dpαmy(⋅) and Dpαiy(⋅) are fractional pseudo-derivatives of a weakly absolutely continuous and pseudo-differentiable function u(⋅):T→E of order αm and αi, i=1,2,…,m−1, respectively, the function f(t,⋅):T×E→E is weakly-weakly...

Existence results of Brezis-Browder type for systems of Fredholm integral equations

In this article, we consider the following systems of Fredholm integral equations: u i ( t ) = h i ( t ) + ∫ 0 T g i ( t , s ) f i ( s , u 1 ( s ) , u 2 ( s ) , … , u n ( s ) ) d s , t ∈ [ 0 , T ] , 1 ≤ i ≤ n , u i ( t ) = h i ( t ) + ∫ 0 ∞ g i ( t , s ) f i ( s , u 1 ( s ) , u 2 ( s ) , … , u n ( s ) ) d s , t ∈ [ 0 , ∞ ) , 1 ≤ i ≤ n . Using an argument originating from Brezis...