-approximate solutions of second-order singular ordinary differential equations.
Calcul des couches limites dans une membrane porteuse de charges électriques fixes
Carathéodory solutions of Sturm-Liouville dynamic equation with a measure of noncompactness in Banach spaces
In this paper, we present the existence result for Carathéodory type solutions for the nonlinear Sturm- Liouville boundary value problem (SLBVP) in Banach spaces on an arbitrary time scale. For this purpose, we introduce an equivalent integral operator to the SLBVP by means of Green’s function on an appropriate set. By imposing the regularity conditions expressed in terms of Kuratowski measure of noncompactness, we prove the existence of the fixed points of the equivalent integral operator. Mönch’s...
Cauchy Problem for Differential Equation with Caputo Derivative
The paper is devoted to the study of the Cauchy problem for a nonlinear differential equation of complex order with the Caputo fractional derivative. The equivalence of this problem and a nonlinear Volterra integral equation in the space of continuously differentiable functions is established. On the basis of this result, the existence and uniqueness of the solution of the considered Cauchy problem is proved. The approximate-iterative method by Dzjadyk is used to obtain the approximate solution...
Characterizing degenerate Sturm-Liouville problems.
Chemotaxis models with a threshold cell density
We consider a quasilinear parabolic system which has the structure of Patlak-Keller-Segel model of chemotaxis and contains a class of models with degenerate diffusion. A cell population is described in terms of volume fraction or density. In the latter case, it is assumed that there is a threshold value which the density of cells cannot exceed. Existence and uniqueness of solutions to the corresponding initial-boundary value problem and existence of space inhomogeneous stationary solutions are discussed....
Classical 2-orthogonal polynomials and differential equations.
Clustering layers and boundary layers in spatially inhomogeneous phase transition problems
Collocation and Residual Correction.
Combinatorial interpretations of the Jacobi-Stirling numbers.
Common general practical method for solving ordinary and partial differential equations
Compact imbeddings in weighted Sobolev spaces and nonlinear boundary value problems
Compactness condition for boundary value problems
Comparison between the variational iteration method and the homotopy perturbation method for the Sturm-Liouville differential equation.
Comparison of eigenvalues for a fourth-order four-point boundary value problem.
Comparison of two definitions of lower and upper functions associated to nonlinear second order differential equations.
Compléments Aux Traités De Kamke Et De Murphy. V. Queloques Classes De L'Équation De Riccati Effectivement Intégrables Avec Deux Coefficients Arbitraires Et Le Troisième Dépendant De Ces Deux Et D'Une Fonction Arbitraire
Compléments aux traités de Kamke et de Murphy. V. Quelques classes de l'équation de Riccati effectivement intégrables avec deux arbitraires et le troisième dépendant de ces deux et d'une fonction arbitraire.
Complete description of the set of solutions to a strongly nonlinear O. D. E.
Computable error bounds with improved applicability conditions for collocation methods.