New results on multiple solutions for th-order fuzzy differential equations under generalized differentiability.
New results on periodic solutions for a kind of Rayleigh equation
The paper deals with the existence of periodic solutions for a kind of non-autonomous time-delay Rayleigh equation. With the continuation theorem of the coincidence degree and a priori estimates, some new results on the existence of periodic solutions for this kind of Rayleigh equation are established.
New results on stability of periodic solution for CNNs with proportional delays and operator
The problems related to periodic solutions of cellular neural networks (CNNs) involving operator and proportional delays are considered. We shall present Topology degree theory and differential inequality technique for obtaining the existence of periodic solution to the considered neural networks. Furthermore, Laypunov functional method is used for studying global asymptotic stability of periodic solutions to the above system.
New results on the nonoscillation of solutions of some nonlinear differential equations of third order.
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.