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Positive solutions for a system of second-order discrete boundary value problems

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.

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

An upper and lower solution approach for a generalized Thomas–Fermi theory of neutral atoms

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.

Boundary value problems on the half line in the theory of colloids

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.

Nonlinear essential maps of Mönch, 1-set contractive demicompact and monotone (S)

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

Two new algorithms for discrete boundary value problems

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

An upper and lower solution approach for a generalized Thomas–Fermi theory of neutral atoms

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.

Boundary value problems on the half line in the theory of colloids

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.

Nonlinear essential maps of Mönch, 1-set contractive demicompact and monotone (S)

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

Birth, growth and computation of pi to ten trillion digits

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

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

Monotone methods for solving a boundary value problem of second order discrete system

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...

Two new algorithms for discrete boundary value problems

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

Existence results for multi-term fractional differential equations with nonlocal multi-point and multi-strip boundary conditions

In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and multi-strip boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We demonstrate the application of the obtained results with the aid of examples. Some new results are also deduced by fixing the parameters involved in the...

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