Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications

This paper investigates the errors of the solutions as well as the shadowing property of a class of nonlinear differential equations which possess unique solutions on a certain interval for any admissible initial condition. The class of differential equations is assumed to be approximated by well-posed truncated Taylor series expansions up to a certain order obtained about certain, in general nonperiodic, sampling points t(i) is an element of [t(0), t(J)] for i = 0, 1, . . . , J of the solution. Two examples are provided.

Common property regimes

Common property regimes are forms of resource management grounded in a set of individually accepted rights and rules for the sustainable and independent use of collective goods. Details about this resource management systems are presented in this article.

Community-based coastal resource management in Orion (Bataan, Philippines) : building community property rights in a fishing community

The Community-based Coastal Resource Management Project in Orion, Bataan, Philippines was started in 1991. The village level fishers organizations have formed a municipal-wide association called the Samahan at Ugnayan ng Pangisdaan sa Orion (SUGPO). It represents 70% of the small-scale fishers in Orion and has taken on the task of rehabilitating the degraded fishing grounds. The experience in Orion indicates that coastal resource management can be successful if the fishers have ownership of the program and the costs and benefits of the program are distributed equally in a manner acceptable to them.

Weighing your options: how to protect your property from shoreline erosion, a handbook for estuarine property owners in North Carolina

If you own property on one of North Carolina’s estuaries, you can use this guide as a tool to learn about the choices you have to control your shoreline erosion and help decide which approach may be right for you. In North Carolina, we make a distinction between waterfront property that is located on the estuary, referred to as estuarine, shoreline, soundfront or riverside property, and waterfront property located directly on the ocean, referred to as oceanfront. Why? State laws and regulations addressing estuarine and oceanfront property, and the available erosion control methods, are quite different. This guide focuses on estuarine property. We’ll introduce you to the six main erosion control options in use in North Carolina and give you information about the out-of-pocket costs and tangible benefits of each option. We’ll also give you information about “hidden” costs and benefits that you may want to factor into your decision-making. You are fortunate to have a piece of estuarine shoreline to call your own, whether it’s your year-round residence or a weekend getaway. And if you’ve noticed some shoreline erosion lately, you’re probably a little concerned. But there are ready solutions.