Results 41 to 50 of about 5,623,825 (245)

Homoclinic solutions of singular differential equations with $\phi$-Laplacian

Electronic Journal of Qualitative Theory of Differential Equations, 2018
A singular nonlinear initial value problem (IVP) with a $\phi$-Laplacian of the form $$ (p(t)\phi(u'(t)))'+ p(t)f(\phi(u(t)))=0, \quad u(0)=u_0 \in [L_0,0),\quad u'(0)=0 $$ is investigated on the half-line $[0,\infty)$.
Lukáš Rachůnek, Irena Rachůnková
doaj   +1 more source

Novel Bernstein‐Kantorovich Type Operators

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source

On the policy function in continuos time economic models [PDF]

, 1991
In this paper, I consider a general class of continuous-time economic models with unbounded horizon. I study the sets of conditions under which the policy function is continuous, Lipschitz continuous, and Cl differentiable.
Santos, Manuel S.
core   +1 more source

On Inverse and Implicit Function Theorem for Sobolev Mappings

Axioms
We extend Clarke’s local inversion theorem for Sobolev mappings. We use this result to find a general implicit function theorem for continuous locally Lipschitz mapping in the first variable and satisfying just a topological condition in the second ...
Mihai Cristea
doaj   +1 more source

Continuity characterisations of differentiability of locally Lipschitz functions [PDF]

Bulletin of the Australian Mathematical Society, 1990
Recently David Preiss contributed a remarkable theorem about the differentiability of locally Lipschitz functions on Banach spaces which have an equivalent norm differentiable away from the origin. Using his result in conjunction with Frank Clarke's non-smooth analysis for locally Lipschitz functions, continuity characterisations of differentiability ...
Giles, J. R., Sciffer, Scott
openaire   +2 more sources

Fragmentation–Coagulation Processes With Advection or Diffusion in Space

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
wiley   +1 more source

Sparse multi-output radial basis function network construction using combined locally regularised orthogonal least square and D-Optimality experimental design

, 2003
A new construction algorithm for multi-output radial basis function (RBF) network modelling is introduce by combining a locally regularized orthogonal least squares (LROLS) model selection with a D-optimality experimental design.
Hong, X., Harris, C.J., Chen, S.
core   +2 more sources

On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley   +1 more source

Nonconvex Lipschitz function in plane which is locally convex outside a discontinuum [PDF]

, 2014
summary:We construct a Lipschitz function on $\mathbb R^2$ which is locally convex on the complement of some totally disconnected compact set but not convex. Existence of such function disproves a theorem that appeared in a paper by L. Pasqualini and was
Pokorný, Dušan
core   +1 more source

Locally Lipschitz Functions and Bornological Derivatives

, 1993
We study the relationships between Gateaux, weak Hadamard and Frechet differentiability and their bornologies for Lipschitz and for convex functions. In particular, Frechet and weak Hadamard differentiabily coincide for all Lipschitz functions if and only if the space is reflexive (an earlier paper of the first two authors shows that these two notions ...
Borwein, Jonathan M., Fabian, Marian, Vanderwerff, J.   +2 more
openaire   +2 more sources