In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.

The existence of infinitely many solutions is established for a class of nonlinear functionals involving the p-biharmonic operator with nonhomoge- neous Neumann boundary conditions. Using a recent critical-point theorem for nonsmooth functionals and under appropriate behavior of the nonlinear term and nonhomogeneous Neumann boundary conditions, we obtain the result.

This paper proves the existence and uniqueness of quadratic mean almost periodic mild so-lutions for a class of stochastic dierential equations in a real separable Hilbert space. Themain technique is based upon an appropriate composition theorem combined with the Banachcontraction mapping principle and an analytic semigroup of linear operators.  

‎In this paper, based on [A. Razani, V. Rako$check{c}$evi$acute{c}$ and Z. Goodarzi, Nonself mappings in modular spaces and common fixed point theorems, Cent. Eur. J. Math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $T$ in the modular space $X_rho$ is presented. Moreover, we study a new version of Krasnoseleskii's fixed point theorem for $S+T$, where $T$ is a cont...

A theorem on existence of mixed strategy equilibria in discontinuous zero-sum games is proved and applied to three models of elections. First, the existence theorem yields a mixed strategy equilibrium in the multidimensional spatial model of elections with three voters. A nine-voter example shows that a key condition of the existence theorem is violated for general finite numbers of voters and ...

A theorem on existence of mixed strategy equilibria in discontinuous zero-sum games is proved and is applied to three models of elections. First, the existence theorem yields a mixed strategy equilibrium in the multidimensional spatial model of elections with three voters. A nine-voter example shows that a key condition of the existence theorem is violated for general finite numbers of voters a...

This paper considers non-transferable utility games and provides sufftcient conditions for the existence of the bargaining set introduced in Mas-Cole11 (1989). Our main assumption is weak balancedness. This assumption is weaker than balancedness and is satisfied in all transferable utility games and all three-player games. The proof of our main result is based on an application of a coincidence...

In these notes we collect in one place the various background material involved in applications of Riemann’s existence theorem to questions about polynomials or curves. This will eventually include material on Riemann surfaces, algebraic topology, Galois theory, group theory, ramification, elliptic curves, rigidity,

Justification logics refine modal logics by replacing the usual necessity operator with a family of justification terms that embody reasons for the necessity of a formula, rather than simply recording the fact of necessity. Many common modal logics have justification counterparts. The connection between a modal logic and its justification counterpart is through a Realization Theorem, which says...

This paper deals with the existence of positive radial solutions for the quasilinear system div(|∇ui|p−2∇ui) + λf (u1, . . . , un) = 0, |x| < 1, ui(x) = 0, on |x| = 1, i = 1, . . . , n, p > 1, λ > 0, x ∈ RN . The f i, i = 1, . . . , n, are continuous and non-negative functions. Let u = (u1, . . . , un), ‖u‖ = ∑n i=1 |ui|, f i 0 = lim ‖u‖→0 f i(u) ‖u‖p−1 , i = 1, . . . , n, f = (f1, . . . , fn),...