using the fixed point theorem in a‎ ‎cone‎, ‎the existence and multiplicity of radial convex solutions of‎ ‎singular system of monge-amp`{e}re equations are established‎.‎

using the fixed point theorem in a‎ ‎cone‎, ‎the existence and multiplicity of radial convex solutions of‎ ‎singular system of monge-amp`{e}re equations are established‎.‎

The purpose of this short paper is to study a simple differential equation of the advantage type, see Eq. (1). Such equations appear in several branches of applied mathematics, for example, see [ 1 ] for an application in probability. In this paper and for the simple type of equation considered, we show existence of a solution on any interval [0, T], where T is any positive finite constant, and...

Abstract In this paper, we discuss the existence and multiplicity of positive solutions for a system fractional differential equations with boundary condition advanced arguments. The result is proved via Leray–Schauder’s fixed point theorem type in vector Banach space. Further, by using new order space, study solutions. Finally, some examples are given to illustrate our results.

In this paper, we study a boundary-value problem with discontinuous conjugation conditions on the line of type changing for model equation mixed hyperbolic-parabolic degeneration order in hyperbolicity domain. parabolic domain, is fractional diffusion equation, whereas hyperbolic domain it loaded one-speed transfer equation. We prove uniqueness and existence theorem propose an explicit solution...

We study complex Dirac structures, that is, structures in the complexified generalized tangent bundle. These include presymplectic foliations, transverse holomorphic CR-related geometries and structures. introduce two invariants, order (normalized) type. show that, together with real index, they allow us to obtain a pointwise classification of For constant order, we prove existence an underlyin...