On finite element procedures of high order accuracy for parabolic equations
On first integrals for polynomial differential equations on the line
We show that any equation dy/dx = P(x,y) with P a polynomial has a global (on ℝ²) smooth first integral nonconstant on any open domain. We also present an example of an equation without an analytic primitive first integral.
On first order impulsive semilinear functional differential inclusions
In this paper the Leray-Schauder nonlinear alternative for multivalued maps combined with the semigroup theory is used to investigate the existence of mild solutions for first order impulsive semilinear functional differential inclusions in Banach spaces.
On first-order differential operators with Bohr-Neugebauer type property.
On Floquet eigenvalue problems for first order differential systems in the complex domain.
On focal points and limit behavior of solutions of linear differential equations
On food chain in a chemostat with distinct removal rates.
On forced first order neutral differential equations with positive and negative coefficients
On forced periodic oscillations in dissipative Liénard systems
On formal theory of differential equations. II.
On formulation and solvability of boundary value problems for viscous incompressible fluids in domains with non-compact boundaries
On four-point boundary value problem without growth conditions
We prove the existence of solutions of four-point boundary value problems under the assumption that fulfils various combinations of sign conditions and no growth restrictions are imposed on . In contrast to earlier works all our results are proved for the Carathéodory case.
On four-point boundary value problems for differential inclusions and differential equations with and without multivalued moving constraints
We deal with the problems of four boundary points conditions for both differential inclusions and differential equations with and without moving constraints. Using a very recent result we prove existence of generalized solutions for some differential inclusions and some differential equations with moving constraints. The results obtained improve the recent results obtained by Papageorgiou and Ibrahim-Gomaa. Also by means of a rather different approach based on an existence theorem due to O. N. Ricceri...
On four-point regular BVPs for second-order quasi-linear ODEs
On fourth-order boundary-value problems
We show the existence of solutions to a boundary-value problem for fourth-order differential inclusions in a Banach space, under Lipschitz’s contractive conditions, Carathéodory conditions and lower semicontinuity conditions.
On functional differential inclusions in Hilbert spaces
We prove the existence of monotone solutions, of the functional differential inclusion ẋ(t) ∈ f(t,T(t)x) +F(T(t)x) in a Hilbert space, where f is a Carathéodory single-valued mapping and F is an upper semicontinuous set-valued mapping with compact values contained in the Clarke subdifferential of a uniformly regular function V.
On functional integrability of solutions of differential equations with deviating argument
On functional linear partial differential equations in Gevrey spaces of holomorphic functions.
We investigate existence and unicity of global sectorial holomorphic solutions of functional linear partial differential equations in some Gevrey spaces. A version of the Cauchy-Kowalevskaya theorem for some linear partial -difference-differential equations is also presented.
On functions describing a distribution of zeros of solutions of an iterated linear differential equation of the fourth order
On fundamental systems for differential equations of Kamke type.