Transversal homoclinics in nonlinear systems of ordinary differential equations.
Bifurcation of multi-bump homoclinics in systems with normal and slow variables.
Some remarks on the Melnikov function.
The interaction of linear boundary value and nonlinear functional conditions
The existence of solutions is studied for certain nonlinear differential equations with both linear and nonlinear conditions
Nontrivial critical points of asymptotically quadratic functions at resonances
Asymptotically quadratic functions defined on Hilbert spaces are studied by using some results of the theory of Morse-Conley index. Applications are given to existence of nontrivial weak solutions for asymptotically linear elliptic partial and ordinary differential equations at resonances.
Critical points of asymptotically quadratic functions
Existence results for critical points of asymptotically quadratic functions defined on Hilbert spaces are studied by using Morse-Conley index and pseudomonotone mappings. Applications to differential equations are given.
Note on weakly inward mappings
The Nielsen fixed point theory is used to show several results for certain operator equations involving weakly inward mappings.
Invariant curves from symmetry
We show that certain symmetries of maps imply the existence of their invariant curves.
A certain type of partial differential equations on tori
The existence of classical solutions for some partial differential equations on tori is shown.
Periodically forced damped beams resting on nonlinear elastic bearings
On a certain type of functional differential equations
On a theorem of L. Lefton
Positive solutions of a certain type of two-point boundary value problems
Periodic orbits of certain Hénon-like maps
Existence results for implicit differential equations
Note on a local invertibility
The relation between a flow and its discretization
Note on a Poincaré map
Periodic solutions in systems at resonances with small relay hysteresis
Higher dimensional Melnikov mappings
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