The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.

The Necessary Maximality Principle for c.c.c. forcing with real parameters is equiconsistent with the existence of a weakly compact cardinal. The Necessary Maximality Principle for c.c.c. forcing, denoted 2mpccc(R), asserts that any statement about a real in a c.c.c. extension that could become true in a further c.c.c. extension and remain true in all subsequent c.c.c. extensions, is already tr...

In this paper we prove that if $X $ is a Banach space, then for every lower semi-continuous bounded below function $f, $ there exists a $left(varphi_1, varphi_2right)$-convex function $g, $ with arbitrarily small norm,  such that $f + g $ attains its strong minimum on $X. $ This result extends some of the  well-known varitional principles as that of Ekeland [On the variational principle,  J. Ma...

Abstract In this paper, we discussed a stochastic optimal control of hepatitis C that minimizes the side effect and reduces viral load. The variables represent drug therapy used for blocking new infection virus production. solution problem is solved using minimum principle four-step scheme. numerical simulation carried out to justify theoretical analysis. result shows both types drugs much more...

in persian, the only syllable type with consonant clusters is cvcc, where its coda can be filled with two consonants. the present article attempts to find whether these two consonant conform the sonority sequencing principle or not. for this reason, the persian words with cvcc syllable type are gathered from persian dictionaries and are classified based on the vowel filling the nucleus of the s...

Monitoring is a widely-used technique to check assumptions about the real-time behavior of a system, debug the code, or enforce the system to react if certain deadlines are passed. Program instrumentation is needed to insert monitoring code fragments into the monitored system if the monitor is implemented without hardware support. This paper describes a language-based approach to automated prog...