Discrete first-order three-point boundary value problem

We study difference equations which arise as discrete approximations to three-point boundary value problems for systems of first-order ordinary differential equations. We obtain new results of the existence of solutions to the discrete problem by employing Euler’s method. The existence of solutions are proven by the contraction mapping theorem and the Brouwer fixed point theorem in Euclidean space. We apply our results to show that solutions to the discrete problem converge to solutions of the continuous problem in an aggregate sense. We also give some examples to illustrate the existence of a unique solution of the contraction mapping theorem

First-order three-point boundary value problems at resonance

AbstractWe consider three-point boundary value problems for a system of first-order equations in perturbed systems of ordinary differential equations at resonance. We obtain new results for the above boundary value problems with nonlinear boundary conditions. The existence of solutions is established by applying a version of Brouwer’s Fixed Point Theorem which is due to Miranda

First-Order Three-Point Boundary Value Problems at Resonance Part III

The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. By employing the implicit function theorem, sufficient conditions for the existence of three-point boundary value problems are established

Consumer Acceptance of Renewable Energy in Peninsular Malaysia

Renewable energy (RE) is a type of advanced technology that changes natural energy into a form that can be used as an alternative to traditional energy solutions to help reduce problems caused by global warming. Nevertheless, consumers still have limited knowledge of renewable energy, which leads to an unwillingness to pay more. Renewable energy marketing as a sustainable willingness to pay more for renewable energy billpayers in Peninsular Malaysia. This research applied the theory of reasoned action as the theoretical underpinning theory. A questionnaire survey was distributed to taxpayers, and 3209 usable responses out of 5000 persons were obtained. This paper suggested that consumers’ concerns and knowledge of renewable energy were positively related to paying a premium for renewable energy. This research showed that the energy consumption patterns influenced consumers’ willingness to pay more for renewable energy. This will benefit policymakers, in line with the Twelfth Malaysian Plan, in pursuing green technology growth and recommending the policy measure to achieve the country’s 31% and 40% renewable energy targets in 2025 and 2035, respectively