[PDF] Top 20 On certain inequalities and their applications in the oscillation theory

... essentially contributed to the subject and presented a very useful comparison technique for studying the properties of a delay differential equation from those of a differential equa- tion without delay. A new impetus to ... See full document

... integral inequalities used in the theory of differential and integral equations on time ...type inequalities by extending some continuous inequalities given in ...[15]. Inequalities of ... See full document

... variational inequalities and fixed- point ...existence theory of the solution and to develop several iterative-type algorithms for solving variational ...Under certain conditions, projection methods ... See full document

... the theory of fractional derivatives and integrals and for their applications in pure ...have certain disadvantages when trying to model real-world phenomena with fractional differential ... See full document

... Some inequalities of the Ostrowski type for functions whose mod- ulus of derivatives are convex and applications for special means and to the f and HH − divergences in Information Theory[r] ... See full document

... several inequalities for ranks of the matrix expressions D–ABXAB, where X is taken, respectively, as B () A () , B (,) A (,) , B (,) A (,) , B (,) A (,) , B (,,) A (,,) , B (,,) A (,,) ... See full document

... [16] F. Giannessi, Theorems of alternative, quadratic programs and complementarity problems, Varia- tional Inequalities and Complementarity Problems (Proc. Internat. School, Erice, 1978) (R. W. Cottle, F. ... See full document

... In the last decade, many authors see, e.g., 6 and the references therein have extended the above result for different classes of functions defined on a compact interval, including func- tions of bounded variation, ... See full document

... for finding eigenvectors. However, in many applications, it is the size of the eigenvalues which is important and so these numerical values would be helpful for such applications. In this case, you might ... See full document

... Let f be an analytic function in the unit disc |z| < 1 on the complex plane C. This paper is devoted to obtaining the correspondence between f (z) and zf (z) at the point w, 0 < |w| = R < 1, such that |f (w)| = ... See full document

... Nunokawa and Sokół Journal of Inequalities and Applications 2015 2015:300... Nunokawa and Sokół Journal of Inequalities and Applications 2015 2015:300.[r] ... See full document

... integral inequalities in two independent variables are ...integral inequalities can be applied as tools to the study of certain class of integral and differential ...Some applications to a ... See full document

... ject of intensive study in the last decade. For typical results regarding (1.4;δ), we refer the reader to the monographs [1, 2, 4, 8, 12], the papers [3, 6, 11, 15], and the ref- erences cited therein. However, compared ... See full document

... We consider the mutual information, which is a measure of the amount of infor- mation that one random variable contains about another random variable.. It is the reduction of uncertainty[r] ... See full document

... type inequalities for scalar functions of one independent variable under an initial condition associated with an arbitrary time scale ...dynamic inequalities but also derive and unify continuous ... See full document

... There been a great deal of controversy about research in cryptography and cryptography itself. In 1929, when Henry Stimson, Secretary of State under Herbert Hoover, dismissed the Black Chamber (the State Department’s ... See full document

... The theory of variational inequalities is playing an increasingly central role in the study of problems not only in mechanics, physics, and engineering but also in optimization, game theory, finance, ... See full document

... In this paper, we intend to establish some new nonlinear Gronwall-Bellman-Ou-Iang type integral inequalities with two variables. The setup is basically along the line of 7 but this is by all means a nontrivial ... See full document

... Recently there has an increasing interest in studying the os- cillatory and asymptotic behavior of difference equations of various types, for examples see [2–9, 13, 15, 18, 19] Our main goal in this paper is to give ... See full document

... Pachpatte, “On a certain retarded integral inequality and applications,” Journal of Inequalities in Pure and Applied Mathematics, vol.. Pachpatte, “Inequalities applicable to certain par[r] ... See full document