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We study the existence and multiplicity of positive solutions for a system of nonlinear second-order difference equations subject to multi-point boundary conditions, under some assumptions on the nonlinearities of the system which contains concave functions. In the proofs of our main results we use some theorems from the fixed point index theory.

-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

We present existence results for some boundary value problems defined on infinite intervals. In particular our discussion includes a problem which arises in the theory of colloids.

This paper presents an upper and lower solution theory for boundary value problems modelled from the Thomas–Fermi equation subject to a boundary condition corresponding to the neutral atom with Bohr radius.

Journal of Applied Mathematics and Stochastic Analysis
NONLINEAR ESSENTIAL MAPS OF MONCH, 1-SET CONTRACTIVE DEMICOMPACT AND MONOTONE (S)+ TYPE
0 **RAVI** **P**. **AGARWAL** National University
1 DONAL O'REGAN

Journal of Applied Mathematics and Stochastic Analysis
Two New Algorithms for Discrete Boundary Value Problems* **Ravi** **P**. **Agarwal** and Tara R. Nanda
**Ravi** **P**. **Agarwal** 0
Tara R. Nanda 0
0 AMS Subject

-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

We present existence results for some boundary value problems defined on infinite intervals. In particular our discussion includes a problem which arises in the theory of colloids.

This paper presents an upper and lower solution theory for boundary value problems modelled from the Thomas–Fermi equation subject to a boundary condition corresponding to the neutral atom with Bohr radius.

Journal of Applied Mathematics and Stochastic Analysis
NONLINEAR ESSENTIAL MAPS OF MONCH, 1-SET CONTRACTIVE DEMICOMPACT AND MONOTONE (S)+ TYPE
0 DONAL O'REGAN National University
1 **RAVI** **P**. **AGARWAL**

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

**Ravi** **P** **Agarwal**
0
Hans Agarwal
Syamal K Sen
0
Department of Mathematics, Texas A&M University-Kingsville
, Kingsville,
TX
, 78363,
USA
The universal real constant pi, the ratio of the circumference ... businesswoman, Sky Silvestry mimics
the speech of The Doctor by repeating the square root of to decimal places
..
. Syamal K. Sen and **Ravi** **P**. **Agarwal** suggested four Matlab based procedures,
viz, (i) Exhaustive

A new concept of a pair of upper and lower solutions is introduced for a boundary value problem of second order discrete system. A comparison result is given. An existence theorem for a solution is established in terms of upper and lower solutions. A monotone iterative scheme is proposed, and the monotone convergence rate of the iteration is compared and analyzed. The numerical...

Journal of Applied Mathematics and Stochastic Analysis
Two New Algorithms for Discrete Boundary Value Problems* **Ravi** **P**. **Agarwal** and Tara R. Nanda
**Ravi** **P**. **Agarwal** 0
Tara R. Nanda 0
0 AMS Subject

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

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**

We shall consider the boundary value problem y(n)

A general existence theory is presented for initial value problems where our nonlinearity may be singular in its dependent variable and may also change sign.

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

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