The existence of positive solution to a nonlinear fractional differential equation with integral boundary conditions.
The existence of positive solution to three-point singular boundary value problem of fractional differential equation.
The existence of positive solutions for nonlinear boundary system with -Laplacian operator based on sign-changing nonlinearities.
The existence of positive solutions for third-order -Laplacian -point boundary value problems with sign changing nonlinearity on time scales.
The existence of solution for boundary value problems for differential equations with deviating arguments and p-Laplacian
We consider a boundary value problem for a differential equation with deviating arguments and p-Laplacian: , x’(t), x’(τ(t))) = 0, t ∈ [0,1]; t ≤ 0; , t ≥ 1. An existence result is obtained with the help of the Leray-Schauder degree theory, with no restriction on the damping forces d/dt grad F(x).
The extended Adomian decomposition method for fourth order boundary value problems.
The first conjugate point of solution of the -th order iterated differential equation
The first derivative of period function of a plane vector field.
The algorithm of the successive derivatives introduced in [5] was implemented in [7], [8]. This algorithm is based on the existence of a decomposition of 1-forms associated to the relative cohomology of the Hamiltonian function which is perturbed. We explain here how the first step of this algorithm gives also the first derivative of the period function. This includes, for instance, new presentations of formulas obtained by Carmen Chicone and Marc Jacobs in [3].
The first kind periodic solutions of differential equations of the second order
The first, the second, and the third Liouville formula and periodical solutions of linear differential equation of the second order
The fixed point theorem and the boundedness of solutions of differential equations in the Banach space
The properties of solutions of the nonlinear differential equation in a Banach space and of the special case of the homogeneous linear differential equation are studied. Theorems and conditions guaranteeing boundedness of the solution of the nonlinear equation are given on the assumption that the solutions of the linear homogeneous equation have certain properties.
The fixed points and iterated order of some differential polynomials
This paper is devoted to considering the iterated order and the fixed points of some differential polynomials generated by solutions of the differential equation where ,
The fluid profile during spin-coating over a small sinusoidal topography.
The form of discrete spectrum in the case of high singular potential
The formal solution of Mikusiński operational differential equations with variable coefficients.
The formulation of second-order boundary value problems on time scales.
The fourth order accuracy decomposition scheme for an evolution problem
In the present work, the symmetrized sequential-parallel decomposition method with the fourth order accuracy for the solution of Cauchy abstract problem with an operator under a split form is presented. The fourth order accuracy is reached by introducing a complex coefficient with the positive real part. For the considered scheme, the explicit a priori estimate is obtained.
The fourth order accuracy decomposition scheme for an evolution problem
In the present work, the symmetrized sequential-parallel decomposition method with the fourth order accuracy for the solution of Cauchy abstract problem with an operator under a split form is presented. The fourth order accuracy is reached by introducing a complex coefficient with the positive real part. For the considered scheme, the explicit a priori estimate is obtained.
The fractal structure of the limit set of the solution space of a doubly periodic Riccati equation.
The Friedrichs extension of certain singular differential operators. II.