In this paper, we study φ-Laplacian problems for differential inclusions with Dirichlet boundary conditions. We prove the existence of solutions under both convexity and nonconvexity conditions on the multivalued right-hand side. The nonlinearity satisfies either a Nagumotype growth condition or an integrably boundedness one. The proofs rely on the Bonhnenblust-Karlin fixed point theorem and th...

The scaling behavior and fixed points in the evolution of fermion Yukawa couplings and mixing angles are discussed. The relevance of fixed points in determining the top quark mass is described. The unification of gauge couplings is a well-known feature of unified theories. To understand the masses of the observed fermions requires ideas beyond the standard model. With certain assumptions about ...

The principle of this paper is to deal with a new existence theory for positive periodic solutions to a kind of nonautonomous functional differential equations with impulse actions at fixed moments. Easily verifiable sufficient criteria are established. The approach is based on the fixed-point theorem in cones. The paper extends some previous results and obtains some new results. (~) 2006 Elsev...

The existence of positive solutions for a class of singular third-order three-point boundary value problem is considered by using Guo-Krasnosel’skii fixed point theorem of cone expansion-compression type. In this class of problem, the nonlinear term is allowed to be singular. Main results show that this class of problem can have positive solutions provided that the conditions on the nonlinear t...

where h : [,T]Z → R, u(t) = u(t + ) – u(t) and T >  is a given positive integer. Our purpose is to find the exact number of solutions and positive solutions of (.). In these last years, the existence andmultiplicity of solutions for nonlinear discrete problems subject to various boundary value conditions have been widely studied by using different abstract methods such as critical point th...

Many problems in the theory of differential equations were initially treated with analytic techniques and later evolved towards more topological approaches. Perhaps the most paradigmatic case is found in the study of nonlinear boundary value problems. The classical proofs based on successive approximations or in the implicit function theorem were soon replaced by the use of fixed points and deg...

This paper is concerned with traveling wave solutions in a discrete diffusion epidemic model delayed transmission. Employing the way of contradictory discussions and bilateral Laplace transform, we obtain nonexistence nontrivial positive bounded solutions. Utilizing super-/sub-solutions method fixed point theory, derive existence both super-critical critical speeds. Our results indicate that sp...