A refinement of quasilinearization method for Caputo's sense fractional-order differential equations.
A Refinement Process for Collocation Approximations.
A related-key attack on iterated chaotic ciphers
In this paper, we present a new type of attack on iterated chaotic ciphers using related keys. Based on the fact that a chaotic sequence is not sensitive to the less significant bits of initial conditions and parameters, a divide- and-conquer attack on iterated chaotic ciphers was presented by us before, which significantly reduces the computing complexity of attacks. However, if the information leaked is significant according to the distribution of the coincidence degrees, a measure for the information...
A remark about a Galerkin method
It is shown that the approximating equations whose existence is required in the author's previous work on partially regular weak solutions can be constructed without any additional assumption about the equation itself. This leads to a variation of a Galerkin method.
A remark on a nonlinear boundary value problem of the third order
A remark on conjugacy of half-linear second order differential equations
A remark on exponential dichotomies.
A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations
Oscillation criteria of Nehari-type for the equation , , are established. These criteria impose no sign restriction on the function and generalize some recent results of the second author.
A remark on power comparison theorem for half-linear differential equations
We consider the half-linear second order differential equation which is viewed as a perturbation of the so-called Riemann-Weber half-linear differential equation. We present a comparison theorem with respect to the power of the half-linearity in the equation under consideration. Our research is motivated by the recent results published by J. Sugie, N. Yamaoka, Acta Math. Hungar. 111 (2006), 165–179.
A remark on Scorza-Dragoni theorem for differential inclusions
A remark on second order functional-differential systems
It is proved that under some conditions the set of solutions to initial value problem for second order functional differential system on an unbounded interval is a compact -set and hence nonvoid, compact and connected set in a Fréchet space. The proof is based on a Kubáček’s theorem.
A remark on the differential equation
A remark on the existence of small solutions to a fourth order boundary value problem with large nonlinearity
A remark on the half-linear extension of the Hartman-Wintner theorem.
A remark on the local Lipschitz continuity of vector hysteresis operators
It is known that the vector stop operator with a convex closed characteristic of class is locally Lipschitz continuous in the space of absolutely continuous functions if the unit outward normal mapping is Lipschitz continuous on the boundary of . We prove that in the regular case, this condition is also necessary.
A remark on the oscillation of ordinary second order nonlinear differential equations
A Remark on the Oscillatoriness of Solutions of a Non-Linear Third-Order Equation
A remark on the oscillatory behavior of solutions of differential equations of order 3 and 4
A remark on uniqueness criteria for initial value problem
A remark on Yosida's complement to Mikusiński's operational calculus