O nejednoznačnosti řešení soustavy diferenciálních rovnic
On a certain nonlinear problem for two-dimensional differential systems
On a class of functional differential equations in Banach spaces.
On a class of second order ODE with a typical degenerate nonlinearity.
On a class of systems of differential equations and on retarded equations.
On a Kneser problem for a system of nonlinear ordinary differential equations
On a nonlinear problem for third-order differential equations
On a successive approximation method of solving the Cauchy problem for systems of generalized ordinary differential equations.
On a theorem of Browder
On a Theorem of Mierczyński
We prove that the initial value problem x’(t) = f(t,x(t)), is uniquely solvable in certain ordered Banach spaces if f is quasimonotone increasing with respect to x and f satisfies a one-sided Lipschitz condition with respect to a certain convex functional.
On a time-dependent subdifferential evolution inclusion with Carathéodory perturbation
On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
On asymptotic properties of central dispersions of the -th kind of ,
On bounded time-dependent perturbations of operator cosine functions.
On Cauchy problemsfor fuzzydifferential equations.
On conditions on right hand sides of differential relations
On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)
One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.
On Existence and Asymptotic Properties of Kneser Solutions to Singular Second Order ODE.
We investigate an asymptotic behaviour of damped non-oscillatory solutions of the initial value problem with a time singularity , , on the unbounded domain . Function is locally Lipschitz continuous on and has at least three zeros , and . The initial value . Function is continuous on has a positive continuous derivative on and . Asymptotic formulas for damped non-oscillatory solutions and their first derivatives are derived under some additional assumptions. Further, we provide...
On general solutions of linear differential equations.
On generalized solutions of some differential non-linear equations of order n
On granular derivatives and the solution of a granular initial value problem
Perceptions about function changes are represented by rules like “If X is SMALL then Y is QUICKLY INCREASING.” The consequent part of a rule describes a granule of directions of the function change when X is increasing on the fuzzy interval given in the antecedent part of the rule. Each rule defines a granular differential and a rule base defines a granular derivative. A reconstruction of a fuzzy function given by the granular derivative and the initial value given by the rule is similar to Euler’s...