If you are looking forward to a couple of weeks of bare face, unstyled hair and total relaxation, then there's a great deal to recommend that and all power to you – skip everything except sun protection and revel in a back-to-basics existence.
"It was a basic existence for this was about opportunity rather than money.
Heating and cooling affect its temperature and other properties, but not its basic existence or structure.
"We have a very basic existence, but we are expected to compete with the guys who have millions of dollars in their bank accounts," Dakuidreketi said.
Planned poverty is also a form of child abuse, and again the grief of children reduced to basic existence is unheeded.
Topics for ordinary differential equations may include initial-value and two-point boundary value problems, the basic existence and uniqueness theorems, continuous dependence on data, stability of fix-points, numerical methods, special functions.
For the eight National Trust wardens who spend nine months of each year resident there, it's a back-to-basics existence with no running water or mains electricity, but their busy lives include welcoming visitors (Staple Island is open in the morning, Inner Farne in the afternoon) and carrying out extensive research into the seals and seabird colonies.
We first present and prove the basic existence result of positive solutions of problem (1.1 - 1.2 1.1 - 1.2
The basic existence theorem of the method of upper and lower solutions for (1.1) can be stated as follows.
Firstly, by the upper and lower solutions method, we investigate the basic existence of positive solutions of problem (1.1 - 1.2 1.1 - 1.2
With the above established comparison principle in hand, we are able to show the basic existence theorem of weak solutions.
