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- J. R. L. Webb
- 2010

We show how a unified method, due to Webb and Infante, of tackling many nonlocal boundary value problems, can be applied to nonlocal versions of some recently studied higher order boundary value problems. In particular, we give some explicit examples and calculate the constants that are required by the theory.

- Stevo SteviÄ‡B, J. R. L. Webb, Stevo Stevic
- 2015

This paper presents solutions to the following product-type second-order system of difference equations xn+1 = ya n znâˆ’1 , yn+1 = zn xd nâˆ’1 , zn+1 = x f n y nâˆ’1 , n âˆˆN0, where a, b, c, d, f , g âˆˆ Z, and xâˆ’i, yâˆ’i, zâˆ’i âˆˆ C \ {0}, i âˆˆ {0, 1}, in closed form.

- Diana Otrocol, Veronica Ana IleaB, J. R. L. Webb
- 2014

The aim of this paper is to discuss some basic problems (existence and uniqueness, data dependence) of the fixed point theory for a functional differential equation with an abstract Volterra operator. In the end an application is given.

- Biao Wang, Zhengce ZhangB, J. R. L. Webb
- 2017

We investigate positive steady states of a diffusive predatorâ€“prey model in spatially heterogeneous environment. In comparison with the spatially homogeneous environment, the dynamics of the predatorâ€“prey model of spatial heterogeneity is more complicated. Our studies show that if dispersal rate of the prey is treated as a bifurcation parameter, for someâ€¦ (More)

- Shengli XieB, J. R. L. Webb, S. L. Xie
- 2015

The paper deals with the existence and multiplicity of positive solutions for a system of higher-order singular nonlinear fractional differential equations with nonlocal boundary conditions. The main tool used in the proof is fixed point index theory in cone. Some limit type conditions for ensuring the existence of positive solutions are given.

- J. R. L. Webb
- 2011

We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters Î¼âˆ—, Î»âˆ— so that some nonlinear differential equations, with nonlocal boundary conditions of integral type, have two positiveâ€¦ (More)

- J. R. L. Webb
- Applied Mathematics and Computation
- 2010

We are interested in the asymptotic analysis of singular solutions with blowup boundary for a class of quasilinear logistic equations with indefinite potential. Under natural assumptions, we study the competition between the growth of the variable weight and the behaviour of the nonlinear term, in order to establish the blow-up rate of the positiveâ€¦ (More)

- Cristian-Paul DanetB, J. R. L. Webb
- 2014

We develop two maximum principles for a nonlinear equation of fourth order that arises in thin plate theory. As a consequence, we obtain uniqueness results for the corresponding fourth order boundary value problem under the boundary conditions w = âˆ†w = 0, as well as some bounds of interest.

- Constantin BuÅŸeB, Olivia Saierli, Afshan Tabassum, J. R. L. Webb, A. Tabassum
- 2014

First we prove that an nÃ— n complex linear system is Hyersâ€“Ulam stable if and only if it is dichotomic (i.e. its associated matrix has no eigenvalues on the imaginary axis iR). Also we show that the scalar differential equation of order n, x(n)(t) = a1x(t) + Â· Â· Â·+ anâˆ’1x(t) + anx(t), t âˆˆ R+ := [0, âˆž), is Hyersâ€“Ulam stable if and only if the algebraicâ€¦ (More)