Results 21 to 30 of about 165,894 (60)
Sturm-Liouville operator with general boundary conditions
We classify the general linear boundary conditions involving $u''$, $u'$ and $u$ on the boundary ${a,b}$ so that a Sturm-Liouville operator on $[a,b]$ has a unique self-adjoint extension on a suitable Hilbert space.
Ciprian G. Gal
doaj
Lyapunov functions for linear nonautonomous dynamical equations on time scales
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform exponential asymptotic stability of the zero solution of a nonautonomous linear dynamical equation on a time scale with uniformly bounded graininess.
Zmorzynska Alexandra, Kloeden Peter E
doaj
A model of distributed objectbased stochastic hybrid systems
This article offers a mathematical model for distributed objectoriented stochastic hybrid systems (DOBSHS). DOBSHS are composite objects communicating with other objects through the exchange of messages through an asynchronous medium such as a network ...
Raman E. Sharykin+1 more
doaj +1 more source
Radial minimizers of a Ginzburg-Landau functional
We consider the functional $$ E_varepsilon(u,G) =frac 1pint_G|abla u|^p +frac{1}{4varepsilon^p}int_G(1-|u|^2)^2 $$ with $p>2$ and $d>0$, on the class of functions $W={u(x)=f(r)e^{idheta} in W^{1,p}(B,C); f(1)=1,f(r)geq 0}$.
Yutian Lei, Zhuoqun Wu, Hongjun Yuan
doaj
Harmonic solutions to a class of differential-algebraic equations with separated variables
We study the properties of periodic solutions of a class of periodically perturbed Differential-Algebraic Equations with separated variables. Under suitable hypotheses, these equations are equivalent to separated variables ODEs on a manifold.
Luca Bisconti
doaj
Solution of Integral Equation using Second and Third Order B-Spline Wavelets [PDF]
It was proven that semi-orthogonal wavelets approximate the solution of integral equation very finely over the orthogonal wavelets Here we used the compactly supported semi-orthogonal B-spline wavelets generated in our paper Compactly Supported B ...
B. Kunwar+3 more
core +1 more source
Existence of solutions for a $p(x)$-Laplacian non-homogeneous equations
We study the boundary value ...
Ionica Andrei
doaj
Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean
For p∈R, the power mean of order p of two positive numbers a and b is defined by Mp(a,b)=((ap+bp)/2)1/p,p≠0, and Mp(a,b)=ab, p=0.
Wei-Feng Xia, Yu-Ming Chu
doaj +1 more source
Some new nonlinear retarded sum-difference inequalities with applications
The main objective of this paper is to establish some new retarded nonlinear sum-difference inequalities with two independent variables, which provide explicit bounds on unknown functions.
Li Zizun, Cheung Wing-Sum, Wang Wu-Sheng
doaj
Moment Inequality for φ-Mixing Sequences and Its Applications
Firstly, the maximal inequality for φ-mixing sequences is given. By using the maximal inequality, we study the convergence properties for φ-mixing sequences.
Wang Xuejun+3 more
doaj +1 more source