In this paper, we discuss the bifurcation problems for strongly indefinite functional via Morse theory. The generalized topological degree for a class of vector fields is defined. As applications, we study the bifurcation problems for Hamiltonian system and noncooperative elliptic system. (C) 2009 Elsevier Inc. All rights reserved.Mathematics, AppliedMathematicsSCI(E)1ARTICLE128-3835
AbstractWe obtain a bifurcation result for solutions of the Lorentz equation in a semi-Riemannian ma...
To each path of strongly indefinite self-adjoint Fredholm operators with invertible ends there is as...
To each path of strongly indefinite self-adjoint Fredholm operators with invertible ends there is as...
A Morse theory was constructed to find the critical points of a strongly indefinite functional on it...
Our main results here are as follows: Let X* be a family of 2?-periodic Hamiltonian vectorfields tha...
AbstractA generalization of the Morse lemma to vector-valued functions is proved by a blowing-up arg...
In this paper, we show the existence of nontrivial critical point for a class of strongly indefini...
This chapter discusses the Morse theory for Hamiltonian systems. The chapter presents the differenti...
A generalization of the Morse lemma to vector-valued functions is proved by a blowing-up argument. T...
In this paper, by introducing some new conditions, we study the nontrivial (multiple) solutions for ...
© Vilnius University, 2017.Based on the relation between Leray–Schauder degree and a pair of strict ...
We study the existence of bifurcation points for variational inequalities with strongly indefinite q...
The author considers an orientable, compact, connected, n-dimensional manifold X and a family of fun...
AbstractBifurcation results are stated for the class of A-proper mappings whose proof uses the gener...
AbstractThis paper generalizes the nondegenerated conditions that imply the most common bifurcations...
AbstractWe obtain a bifurcation result for solutions of the Lorentz equation in a semi-Riemannian ma...
To each path of strongly indefinite self-adjoint Fredholm operators with invertible ends there is as...
To each path of strongly indefinite self-adjoint Fredholm operators with invertible ends there is as...
A Morse theory was constructed to find the critical points of a strongly indefinite functional on it...
Our main results here are as follows: Let X* be a family of 2?-periodic Hamiltonian vectorfields tha...
AbstractA generalization of the Morse lemma to vector-valued functions is proved by a blowing-up arg...
In this paper, we show the existence of nontrivial critical point for a class of strongly indefini...
This chapter discusses the Morse theory for Hamiltonian systems. The chapter presents the differenti...
A generalization of the Morse lemma to vector-valued functions is proved by a blowing-up argument. T...
In this paper, by introducing some new conditions, we study the nontrivial (multiple) solutions for ...
© Vilnius University, 2017.Based on the relation between Leray–Schauder degree and a pair of strict ...
We study the existence of bifurcation points for variational inequalities with strongly indefinite q...
The author considers an orientable, compact, connected, n-dimensional manifold X and a family of fun...
AbstractBifurcation results are stated for the class of A-proper mappings whose proof uses the gener...
AbstractThis paper generalizes the nondegenerated conditions that imply the most common bifurcations...
AbstractWe obtain a bifurcation result for solutions of the Lorentz equation in a semi-Riemannian ma...
To each path of strongly indefinite self-adjoint Fredholm operators with invertible ends there is as...
To each path of strongly indefinite self-adjoint Fredholm operators with invertible ends there is as...