The early reception in France of the work of Poincaré and Lyapunov in the qualitative theory of differential equations
Poincaré’s early use of Analysis situs in nonlinear differential equation : variations around the theme of Kronecker’s integral
We analyze the chronological and conceptual evolution of the early use by Poincaré of tools, and in particular of in his qualitative theory of nonlinear differential equations. We show in this way that prior to his famous series of subsequent papers on Poincaré had already obtained or anticipated many important topological results.
Présences des sommes de Riemann dans l'évolution du calcul intégral
Problème de Cauchy pour les équations différentielles et théories de l'intégration : influences mutuelles
The periodic Ambrosetti-Prodi problem for nonlinear perturbations of the p-Laplacian
We prove an Ambrosetti–Prodi type result for the periodic solutions of the equation , when is arbitrary and or when . The proof uses upper and lower solutions and the Leray–Schauder degree.
A tribute to Juliusz Schauder
An analysis of the mathematical contributions of Juliusz Schauder through the writings of contemporary mathematicians, and in particular Leray, Hadamard, Banach, Randolph, Federer, Lorentz, Ladyzhenskaya, Ural’tseva, Orlicz, Gårding and Pietsch.
Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields
Boundary value problems with nonlinearities having infinite jumps
Nonlinear boundary value problems involving the extrinsic mean curvature operator
The paper surveys recent results obtained for the existence and multiplicity of radial solutions of Dirichlet problems of the type where is the open ball of center and radius in , and is continuous. Comparison is made with similar results for the Laplacian. Topological and variational methods are used and the case of positive solutions is emphasized. The paper ends with the case of a general domain.
The origin and developments of Kurzweil's generalized Riemann integral
The paper describes to origin and motivation of Kurzweil in introducing a Riemann-type definition for generalized Perron integrals and his further contributions to the topics.
A simple proof of a semi-Fredholm principle for periodically forced systems with homogeneous nonlinearities
Contractive mappings and periodically perturbed conservative systems
Nonstandard analysis and generalized Riemann integrals
Some remarks on semilinear problems at resonance where the nonlinearity depends only on the derivatives
Some remarks on the -stability for families of polynomials
Nonlinear eigenvalue problems with the parameter near resonance
On periodic meromorphic functions on
Si dimostra che per una varietà quasi abeliana il corpo delle funzioni meromorfe ha grado di trascendenza infinito.
Generalized periodic solutions of nonlinear telegraph equations (Preliminary communication)
Two-point boundary value problems for nonlinear perturbations of some singular linear differential equations at resonance
Boundary value problems with bounded -Laplacian and nonlocal conditions of integral type
We study the existence of solutions to nonlinear boundary value problems for second order quasilinear ordinary differential equations involving bounded -Laplacian, subject to integral boundary conditions formulated in terms of Riemann-Stieltjes integrals.
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