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Boundary Value Problems and Boundary Value Spaces [PDF]

open access: yes, 2021
AbstractThis chapter is devoted to the study of inhomogeneous boundary value problems. For this, we shall reformulate the boundary value problem again into a form which fits within the general framework of evolutionary equations. In order to have an idea of the type of boundary values which make sense to study, we start off with a section that deals ...
Christian Seifert   +2 more
openaire   +1 more source

On the solvability of a semi-periodic boundary value problem for the nonlinear Goursat equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper, by means of a change of variables, a nonlinear semi-periodic boundary value problem for the Goursat equation is reduced to a linear gravity problem for hyperbolic equations. Reintroducing a new function, the obtained problem is reduced to
N.T. Orumbayeva   +2 more
doaj   +1 more source

A Fuzzy Random Boundary Value Problem

open access: yesAxioms, 2022
A system of generalized fuzzy random differential equations with boundary conditions is investigated, which is a fuzzy version of a system of general random differential equations. We first present random fixed point (RFP) theorems in fuzzy metric space (
Hari M. Srivastava   +3 more
doaj   +1 more source

Nonlocal boundary value problems [PDF]

open access: yesBoundary Value Problems, 2012
In the last decades, nonlocal boundary value problems have become a rapidly growing area of research. The study of this type of problems is driven not only by a theoretical interest, but also by the fact that several phenomena in engineering, physics and life sciences can be modelled in this way. For example, problems with feedback controls such as the
Franco D, INFANTE, GENNARO, Minhos FM
openaire   +4 more sources

Partition Method for Solving Boundary Value Problem Using B-Spline Functions [PDF]

open access: yesEngineering and Technology Journal, 2009
This paper is concerned with the approximated solution of linear two-pointsboundary value problem (LTPBVP) using Partition method with the aid of B-Splinefunctions as basis functions. The result of this method is compared with the exactsolution.
Bushra E. Kashem
doaj   +1 more source

Second-Order Boundary Value Problem with Integral Boundary Conditions

open access: yesBoundary Value Problems, 2011
The nonlinear alternative of the Leray Schauder type and the Banach contraction principle are used to investigate the existence of solutions for second-order differential equations with integral boundary conditions.
Nieto JuanJ   +2 more
doaj   +2 more sources

TWO-DIMENSIONAL HYBRIDS WITH MIXED BOUNDARY VALUE PROBLEMS

open access: yesActa Polytechnica, 2016
Boundary value problems are considered on a simplex F in the real Euclidean space R2. The recent discovery of new families of special functions, orthogonal on F, makes it possible to consider not only the Dirichlet or Neumann boundary value problems on F,
Marzena Szajewska   +1 more
doaj   +1 more source

Boundary value problem for the four-dimensional Gellerstedt equation [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this work, the solvability of the problem with Neumann and Dirichlet boundary conditions for the Gellerstedt equation in four variables is investigated. The energy integral method is used to prove the uniqueness of the solution to the problem.
A.S. Berdyshev, A.R. Ryskan
doaj   +3 more sources

MULTIDIMENSIONAL HYBRID BOUNDARY VALUE PROBLEM

open access: yesActa Polytechnica, 2018
The purpose of this paper is to discuss three types of boundary conditions for few families of special functions orthogonal on the fundamental region. Boundary value problems are considered on a simplex F in the real Euclidean space Rn of dimension n >
Marzena Szajewska   +1 more
doaj   +1 more source

On Three-Point Boundary Value Problem

open access: yesMathematical Modelling and Analysis, 2016
Three-point boundary value problems for the second order nonlinear ordinary differential equations are considered. Existence of solutions are established by using the quasilinearization approach.
Nadezhda Sveikate
doaj   +1 more source

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