The complementing condition and its role in a bifurcation theory applicable to nonlinear elasticity.
The Hopf bifurcation theorem for parabolic equations with infinite delay
The existence of the Hopf bifurcation for parabolic functional equations with delay of maximum order in spatial derivatives is proved. An application to an integrodifferential equation with a singular kernel is given.
The number of buckled states of circular plates
Transitions from relative equilibria to relative periodic orbits.
Two-mode bifurcation in solution of a perturbed nonlinear fourth order differential equation
In this paper, we are interested in the study of bifurcation solutions of nonlinear wave equation of elastic beams located on elastic foundations with small perturbation by using local method of Lyapunov-Schmidt.We showed that the bifurcation equation corresponding to the elastic beams equation is given by the nonlinear system of two equations. Also, we found the parameters equation of the Discriminant set of the specified problem as well as the bifurcation diagram.
Una equazione parabolica in teoria della combustione: problemi diretti ed inversi
Unfolding Bifucations of an Elliptic Boundary Value Problem.
Uniqueness of global positive solution branches of nonlinear elliptic problems.
Wave bifurcation in models for heterogeneous catalysis.
Waves of Autocrine Signaling in Patterned Epithelia
A biophysical model describing long-range cell-to-cell communication by a diffusible signal mediated by autocrine loops in developing epithelia in the presence of a morphogenetic pre-pattern is introduced. Under a number of approximations, the model reduces to a particular kind of bistable reaction-diffusion equation with strong heterogeneity. In the case of the heterogeneity in the form of a long strip a detailed analysis of signal propagation is...
Бифуркация автоколебаний нелинейных параболических уравнений с малой диффузией
Локальная структура множества решений нелинейной краевой задачи первого порядка с ограничениями в точках
Об ориентированной степени одного класса возмущений фредгольмовых отображений и бифуркации решений нелинейной краевой задачи с некомпактными возмущениями