New results on the positive solutions of nonlinear second-order differential systems.
New retarded integral inequalities with applications.
New Rosenbrock methods of order 3 for PDAEs of index 2
New spectral criteria for almost periodic solutions of evolution equations
We present a general spectral decomposition technique for bounded solutions to inhomogeneous linear periodic evolution equations of the form ẋ = A(t)x + f(t) (*), with f having precompact range, which is then applied to find new spectral criteria for the existence of almost periodic solutions with specific spectral properties in the resonant case where may intersect the spectrum of the monodromy operator P of (*) (here sp(f) denotes the Carleman spectrum of f). We show that if (*) has a bounded...
New sufficient conditions for a center and global phase portraits for polynomial systems.
In this paper we consider cubic polynomial systems of the form: x' = y + P(x, y), y' = −x + Q(x, y), where P and Q are polynomials of degree 3 without linear part. If M(x, y) is an integrating factor of the system, we propose its reciprocal V (x, y) = 1 / M(x,y) as a linear function of certain coefficients of the system. We find in this way several new sets of sufficient conditions for a center. The resulting integrating factors are of Darboux type and the first integrals are in the Liouville form.By...
New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations
This paper addresses the stability study for nonlinear neutral differential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymptotic stability of the solution. In this work we extend and improve some related results presented in recent works of literature. Two examples are exhibited to show the effectiveness and advantage of the results proved.
New variational principle and duality for an abstract semilinear Dirichlet problem
A new variational principle and duality for the problem Lu = ∇G(u) are provided, where L is a positive definite and selfadjoint operator and ∇G is a continuous gradient mapping such that G satisfies superquadratic growth conditions. The results obtained may be applied to Dirichlet problems for both ordinary and partial differential equations.
Newton interpolating series at distinct points with coefficients in a real Banach algebra.
Newton's method for solutions of quasi-Bessel differential equations.
Nichtäquidistante Diskretisierungen von Randwertaufgaben.
Nichteuklidischer Nullstellenabstand der Lösungen von w'' + p(z)w = 0.
Nichtlineares Randwertproblem 4. Ordnung
Nichtoszillatorische lineare Differentialgleichungen 2. Ordnung
Nichtoszillatorische und oszillatorische Differentialgleichungen dritter Ordnung
Nichtselbstadjungierte Differentialoperatoren im nichtkompakten Fall.
Nicht-S-hermitesche Rand- und Eigenwertprobleme.
Niektoré vlastnosti diferenciálnej rovnice
Niektoré vlastnosti diferenciálnej rovnice
Nielsen number and differential equations.
Nilpotent second order linear differential equations with fuchsian singularities