145 papers found.

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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.

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
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

**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

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.

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**

In this paper, we suggest some nonunique fixed results in the setting of various abstract spaces. The proposed results extend, generalize and unify many existing results in the corresponding literature.

We will present an up-to-date review on anti-periodic boundary value problems of fractional-order differential equations and inclusions. Some recent and new results on nonlinear coupled fractional differential equations supplemented with coupled anti-periodic boundary conditions will also be highlighted.

We will present an up-to-date review on anti-periodic boundary value problems of fractional-order differential equations and inclusions. Some recent and new results on nonlinear coupled fractional differential equations supplemented with coupled anti-periodic boundary conditions will also be highlighted.

In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational shifts. Using a matched space for time scales, a new concept of periodic time scales is introduced. Based on it, new concepts of...

**Agarwal** 2
Manuel De la Sen 0
0 Institute of Research and Development of Processes IIDP Faculty of Science and Technology, University of the Basque Country , Leioa , Spain
1 Department of Mathematics, Sari

In this paper we derive some identities for the solution of the problem of homogeneous and anisotropic micropolar thermoelasticity. These can be applied to proving uniqueness of the solution of the corresponding boundary initial value problem.

Calvert and Gupta’s results concerning the perturbations on the ranges of m-accretive mappings have been employed widely in the discussion of the existence of solutions of nonlinear elliptic differential equation with Neumann boundary. In this paper, we shall focus our attention on certain hyperbolic differential equation with mixed boundaries. By defining some suitable nonlinear...

We consider the Sturm-Liouville boundary value problem { y ( m ) ( t ) + F ( t , y ( t ) , y ′ ( t ) , … , y ( q ) ( t ) ) = 0 , t ∈ [ 0 , 1 ] , y ( k ) ( 0 ) = 0 , 0 ≤ k ≤ m − 3 , ζ y ( m − 2 ) ( 0 ) − θ y ( m − 1 ) ( 0 ) = 0 , ρ y ( m − 2 ) ( 1 ) + δ y ( m − 1 ) ( 1 ) = 0 , where m ≥ 3 and 1 ≤ q ≤ m − 2 . We note that the nonlinear term F involves derivatives. This makes the...

**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

In this paper, we study the existence of periodic solutions for a class of ordinary p-Laplacian systems. Our technique is based on the generalized mountain pass theorem of Rabinowitz. MSC: 47J30, 34B15, 34C25, 35B38.

In this paper we investigate a new kind of nonlocal multi-point boundary value problem of Caputo type sequential fractional integro-differential equations involving Riemann-Liouville integral boundary conditions. Several existence and uniqueness results are obtained via suitable fixed point theorems. Some illustrative examples are also presented. The paper concludes with some...