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Key words and phrases: Banach valued Brownian motion, central limit theorem, Schauder decomposition, second difference, skew pyramidal basis.. Letting the modulus ρ vary gives a

The method of lower and upper solutions combined with the monotone iterative technique is used for ordinary differential equations with nonlinear boundary conditions.. Some

Functional boundary value problem, existence, Leray- Schauder degree, Borsuk theorem, α -condensing operator.. 1991 Mathematics

In this paper the concepts of lower mild and upper mild solutions combined with a fixed point theorem for condensing maps and the semigroup theory are used to investigate the

Based on the Schauder type estimates, under some assumptions on the mobility and terms of lower order, we establish the global existence of classical

The Schauder Fixed Point Theorem is, undoubtedly, one of the most impor- tant theorems of nonlinear analysis.. Theorem 1.1 (Schauder) Let M be a nonempty closed bounded convex sub-

Murat, Nonlinear problems having natural growth in the gra- dient: an existence result when the source terms are small, Nonlinear Anal.. Theory

Some existence criteria are established for a class of fourth-order m -point boundary value prob- lem by using the upper and lower solution method and the Leray-Schauder