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184.410  Articles
1 of 18.441 pages  |  10  records  |  more records»
Background: The teaching of differential equations is dominated by an excessively algebraised analytic tradition. For this reason, studies that contribute to conceptualising mathematical objects associated with the differential equation are important, par... see more

We study an optimal control problem for mixed Dirichlet-Neumann boundary value problem for the strongly non-linear elliptic equation with p-Laplace operator and L1-nonlinearity in its right-hand side. A distribution u acting on a part of boundar... see more

We study an optimal control problem for mixed Dirichlet-Neumann boundary value problem for the strongly non-linear elliptic equation with p-Laplace operator and L1-nonlinearity in its right-hand side. A distribution u acting on a part of boundar... see more

This work deals with the existence of non-oscillatory solutions to a kind offirst-order neutral equations having both delay and advance terms. The new results areestablished using the Banach contraction principle.

We consider the problem of existence and location of a solution of a nonlinearoperator equation with a Fr´echet differentiable operator in a Banach space and present the convergence results for a projection-iteration method based on a Newton-like met... see more

We consider the problem of existence and location of a solution of a nonlinearoperator equation with a Fr´echet differentiable operator in a Banach space and present the convergence results for a projection-iteration method based on a Newton-like met... see more

In this paper, using the technique of measure of noncompactness inBanach algebra, we prove an existence theorem for a nonlinearintegral equation which contains as particular cases a lot ofintegral and functional-integral equations considered in nonlineara... see more

The study of differential-algebraic boundary value problems was initiated in the works of K. Weierstrass, N. N. Luzin and F. R. Gantmacher. Systematic study of differential-algebraic boundary value problems is devoted to the work of S. Campbell, Yu. E. Bo... see more

This article investigates existence, uniqueness and stability solutions of new fractional Volterra integro-differential equations system with fractional boundary conditions by using the existence and uniqueness theorem. Theorems on existence and uniquenes... see more

1 of 18.441 pages  |  10  records  |  more records»