Pachpatte inequalities on time scales.
Painlevé property of a degenerate Garnier system of (9/2)-type and of a certain fourth order non-linear ordinary differential equation
Parallel algorithms for initial and boundary value problems for linear ordinary differential equations and their systems
Parallel method for initial value problems for linear ordinary differential equations: speed up estimation
Parallelisms between differential and difference equations
The paper deals with the higher-order ordinary differential equations and the analogous higher-order difference equations and compares the corresponding fundamental concepts. Important dissimilarities appear for the moving frame method.
Parametrization of Carathéodory multifunctions
Parametrization of Riemann-measurable selections for multifunctions of two variables with application to differential inclusions
We consider a multifunction , where T, X and E are separable metric spaces, with E complete. Assuming that F is jointly measurable in the product and a.e. lower semicontinuous in the second variable, we establish the existence of a selection for F which is measurable with respect to the first variable and a.e. continuous with respect to the second one. Our result is in the spirit of [11], where multifunctions of only one variable are considered.
Parametrized relaxation for evolution inclusions of the subdifferential type
In this paper we consider parametric nonlinear evolution inclusions driven by time-dependent subdifferentials. First we prove some continuous dependence results for the solution set (of both the convex and nonconvex problems) and for the set of solution-selector pairs (of the convex problem). Then we derive a continuous version of the “Filippov-Gronwall” inequality and using it, we prove the parametric relaxation theorem. An example of a parabolic distributed parameter system is also worked out...
Partial averaging for impulsive differential equations with supremum.
Partially dissipative periodic processes
Further extension of the Levinson transformation theory is performed for partially dissipative periodic processes via the fixed point index. Thus, for example, the periodic problem for differential inclusions can be treated by means of the multivalued Poincaré translation operator. In a certain case, the well-known Ważewski principle can also be generalized in this way, because no transversality is required on the boundary.
Particular solutions for a class of ODE related to the -exponential functions.
Partitioned Adaptive Runge-Kutta Methods and Their Stability.
Partitioned Adaptive Runge-Kutta Methods for the Solution of Nonstiff and Stiff Systems.
Partitioned Runge-Kutta Methods with Stiffness Detection and Stepsize Control.
Pathway complexity of model virus capsid assembly systems.
Peano Baker series convergence for matrix-valued functions of bounded variation.
Peano type theorem for random fuzzy initial value problem
In this paper we consider the random fuzzy differential equations and show their application by an example. Under suitable conditions the Peano type theorem on existence of solutions is proved. For our purposes, a notion of ε-solution is exploited.
Periodic and boundary value problems for second order differential inclusions.
Periodic boundary value problem for nonlinear first order ordinary differential equations with impulses at fixed moments.
Periodic boundary value problems of impulsive differential equations.