The notion and some properties of (strongly) B-rings, in a natural way, are extended to (strongly) B- and (strongly) BJ -semirings which is somewhat similar to the notion of rings having stable range 2. Results are given showing the connection between several types of semirings whose nite sequences satisfy some stability condition, some involving the Jacobson k-radical of the semiring R. Besides some examples and other results, it is shown that R[x], the semiring of polynomials over a semiring R, is not a B-semiring (consequently, not a strongly B-semiring) when R is a zerosumfree semiring.
This paper is devoted to study the existence of solutions for a class of fractional differential inclusions with non instantaneous impulses and multivalued jump involving the Caputo fractional derivative in a Banach space. The arguments are based upon M\{o}nch's fixed point theorem and the technique of measures of noncompactness.
The second order nonlinear integro-differential equation x(t)+f(t,x(t),x(t))x(t)+∑_{j=1}^{N}∫_{t-τ_{j}(t)}^{t}a_{j}(t,s)g_{j}(s,x(s))ds=0, with variable delays τ_{j}(t)≥0, 1≤j≤N, is investigated with low restrictions on the delays. Omitting assumptions such as differentiability on τ_{j} or invisibility of functions t-τ_{j}(t), makes the variation of parameters method difficult to apply to the equation. To circumvent the difficulties we choose conditions for f, a_{j}, g_{j} and we, carefully, amplify space of functions so that the equation takes a suitable form that facilitates the inversion of the equation into an equivalent one from which we derive a fixed point mapping. The end result is not only conditions for existence and uniqueness of solutions of the equation, but also for boundedness and stability of the zero solution of that equation. We also provide conditions that make zero solution asymptotically stable. The technique we use here avoids many difficulties which we often encounter in studying any class of second order nonlinear equations with variables delays and offers, what we hope, a new way to investigate the stability by fixed point theory. Our work extends and improves previous results in the literature such as, D. Pi pi1 .
In this paper, we introduce and study a new subclass of meromorphic functions with positive coefficients involving the polylogarithm function and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral transforms, convex linear combinations and convolution properties for the class sigma(c,p)(alpha, lambda).
This paper contains the biographical sketch and reviews scientific contributions of Professor Constantin Corduneanu, an outstanding researcher in stability and control theory, and oscillations.
This paper is concerned with maximization and minimization of a functional associated with solutions of (p,q)-Laplace equations depending on functions which belong to a class of rearrangements. We prove existence and uniqueness results, and present some features of optimal solutions.
The primary motivation of the paper is to give necessary and sufficient condition for the power series distribution (Pascal model) to be in the subclasses TS_{p}(λ,α,β) and UCT(λ,α,β) of analytic functions.
In this paper we introduce a new class L(; x) of Lambda-pseudo bi-starlike functions through the (p; q)-Lucas polynomials and determine the bounds for |a2| and |a3| where a2, a3 are the initial Taylor coecients of f 2 L(; x): Furthermore, we estimate the Fekete-Szego functional for f 2 L(; x): We pointed out several new or known consequences of our result.
This paper introduces and investigates the polynomials whose coefficients are bi-univalent of generalized distribution. We employed method of convolution via generalized polylogarithm and Sigmoid function to obtain first few coefficients of the defined subclasses. Furthermore, second and third Hankel determinant for the class defined were established. Consequences of various choices of parameter were discussed which further establish geometric properties of the generalized distribution associated with bi-univalent functions.
We establish a one to one correspondence between the\linebreak connections $C^{(k-1)}$ (in the bundle $% T^{k}M\rightarrow M$, used by R. Miron in his work on higher order spaces) and $C^{(0)}$ (in the affine bundle $% T^{k}M\rightarrow T^{k-1}M$, used for example in \cite{CSC1}).
In this work we determine the fundamental solutions of the Pell equation $% x^{2}-dy^{2}=\pm 1$ by determining the right neighbors of indefinite forms $% F=(d,0,-1)$ of discriminant $\Delta =4d$ for some specific values of $d $.
We consider a nonlinear Neumann problem driven by the p-Laplacian and a reaction which consists of a singular term plus a (p-1) - linear perturbation which is resonant at +∞ with respect to the principal eigenvalue. Using variational methods together with suitable truncation, comparison and approximation techniques, we show that the problem admits two positive smooth solutions.
In this paper, we have presented the idea of fuzzy parameterized intuitionistic fuzzy soft multiset (briefly, FPIFSM-set) and its basic properties are to be studied. Also, we define AND−t-norms, OR−t-norm, AND−t-conorm and OR−t-conorm products on FPIFSM-sets and using these products we introduce an adjustable approach to FPIFSM-set based decision-making, for solving decision-making in an uncertain situation. The feasibility of our proposed FPIFSMset based decision-making procedure in practical application is shown by some numerical models.
In this paper, we provide a concise presentation of the book "Functional Differential Equations: Advances and Applications" by Constantin Corduneanu, Yizeng Li, and Mehran Mahdavi, a research monograph, published by Wiley, 2016. The book contains five chapters, an Appendix, and a bibliography which includes more than five hundred fifty references. In each chapter, except the first one, there is a section, bibliographical notes, in which numerous references and their relationships to our work are provided. The book presents only part of the results available in the literature, mainly mathematical ones, without any claim related to the coverage of the whole field of functional differential equations or functional equations. The book also includes many applications of the results.
