Alves, Claudianor O., Souto, Marco A.S., and Montenegro, Marcelo
Subjects
*EXISTENCE theorems, *ELLIPTIC differential equations, *ZERO (The number), *PROBLEM solving, *CONTINUOUS functions, *DIFFERENTIAL equations, *ASYMPTOTIC theory of algebraic ideals
Abstract
Abstract: In this paper we show the existence of a positive solution for the following class of elliptic equations where f is a continuous function with quasicritical growth and K is a nonnegative function verifying some conditions of two kinds. We analyze the problem with K asymptotically periodic, K periodic and K belonging to some . [Copyright &y& Elsevier]
*DIFFERENTIAL equations, *ASYMPTOTIC theory of algebraic ideals, *DELAY differential equations, *HAMILTONIAN systems, *BOUNDARY value problems, *MATHEMATICAL analysis, *EXISTENCE theorems
Abstract
Abstract: In this paper, the -index is defined and the -boundary value problem of Hamiltonian system is studied. As applications, the existence and multiplicity results of periodic solutions of asymptotically linear delay differential systems and delay Hamiltonian systems are obtained. [Copyright &y& Elsevier]
*HAMILTONIAN systems, *EXISTENCE theorems, *MATHEMATICAL analysis, *NUMERICAL analysis, *NUMERICAL solutions to differential equations, *ASYMPTOTIC theory of algebraic ideals, *DIFFERENTIAL equations
Abstract
Abstract: In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems , where is either asymptotically quadratic or superquadratic as . [Copyright &y& Elsevier]