We present a simple condition which can be used to verify that under some conditions, set-valued operators have zero points. Furthermore, we derive the surjectivity result and the Kakutani fixed point theorem by using this condition.doi:10.1007/s11228-006-0030-8Shin-ya Matsushita...
02 The Distribution of Logarithmic Derivatives of Quadratic L-functions in Positive 50:01 Analogues of the Hilbert Irreducibility Theorem for integral points on surfaces 57:32 primes in arithmetic progressions with smooth moduli 48:00 On extremal orthogonal arrays 53:27 Hilbert Class Fields and ...
Generalized quasiconvexities, cone saddle points, and minimax theorem for vector-valued functions We establish the following theorems: (i) an existence theorem for weak type generalized saddle points; (ii) an existence theorem for strong type generalize... T Tanaka - 《Journal of Optimization Theor...
2. Auxiliary information and the existence theorem Denote by V* the set of k-dimensional vector functions g : [0,T1 • with finite variation on [0,T] and by V the set of scalar functions with finite variation on [0,T1. It is known [10] that Vk is a Banach space with the k ...
Theorem 1.1 Assume , then system (1.1) has a unique solution for and . Theorem 1.2 Assume , when , there exists⁎ such that system (1.1) has at least two solutions for each ⁎. This paper is organized as follows. Some preliminaries and the proof of Theorem 1.1 are given in Section...
Using the technique of Davis and Varaiya, we give an existence theorem for a Nash equilibrium point in N-person nonzero sum stochastic differential games. It is shown that if the Nash condition (generalized Isaacs condition) holds there ... Uchida,Kenko - 《Siam Journal on Control & Optimizat...
Theorem 2.1 If [Math Processing Error]L:domL→Y is Fredholm of index zero, let [Math Processing Error]L−λN be A-proper for [Math Processing Error]λ∈[0,1]. Assume that N is bounded and [Math Processing Error]P+JQN+L1−1(I−Q)N maps K to K. Suppose further that [Math...
In this paper, we consider a system of nonlinear differential equations in a Banach space with boundary conditions on an infinite interval and provide sufficient conditions for the existence of solutions of the system. Our method relies upon the properti
The present paper is concerned with the global existence of solutions of Eq. (1) which exhibit “linear-like” behavior at infinity. Our main purpose is to present the proof of the result which is stronger than Theorem 2, with the word “extendable” in its statement omitted. The global ...
In this paper, we establish several new existence theorems for positive solutions of systems of $(2n,2m)$ -order of two p-Laplacian equations. The results are based on the Krasnosel’skii fixed point theorem and mainly complement those of Djebali, Moussa