Results 31 to 40 of about 8,772,119 (248)
On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition
Mathematical Modelling and Analysis, 2007 Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
doaj +1 more source
Nonlocal systems of BVPs with asymptotically superlinear boundary conditions [PDF]
, 1997 summary:In this paper we consider a coupled system of second-order boundary value problems with nonlocal, nonlinear boundary conditions, and we examine conditions under which such problems will have at least one positive solution.
Goodrich, Christopher S. +2 more
core +1 more source
Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations [PDF]
, 2008 Finite difference parabolic equation method (FD-PEM) codes using a nonlocal boundary condition to model radiowave propagation over electrically large domains, require the computation of time consuming spatial convolution integrals. For the first time, we
Mias, Christos
core +1 more source
The Existence of a Generalized Solution of an m-Point Nonlocal Boundary Value Problem [PDF]
, 2017 An m-point nonlocal boundary value problem is posed for quasi- linear differential equations of first order on the plane. Nonlocal boundary value problems are investigated using the algorithm of reducing nonlocal boundary value problems to a sequence of ...
David Devadze, Devadze, David
core +1 more source
On Nonlinear Coupled System with Nonlocal Boundary Conditions
Boletim da Sociedade Paranaense de Matemática, 2003 Summary: We discuss the existence, uniqueness and stability exponential and polynomial of global solutions for a nonlinear coupled system with nonlocal boundary conditions given by \[ \begin{aligned} u_{tt}+\Delta^2u+f(u-v) & =0\text{ in }\Omega\times (0,\infty),\\ v_{tt}-\Delta v-f(u-v)& =0\text{ in }\Omega\times(0,\infty),\\ u=0 \text{ on }\Gamma_0 ...
U. R. Soares, C. A. Raposo, M. L. Santos
openaire +4 more sources
On a Problem of Cross-Diffusion with Nonlocal Boundary Conditions [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2019 Condition of global existence of solution of a non-linear system of cross-diffusion with non-linear boundary conditions is studied in the paper.
Rakhmonov, Zafar R., Urunbayev, Jasur E.
openaire +2 more sources
Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
core +1 more source
Lietuvos Matematikos Rinkinys, 2012 In this paper, generalized Green’s functions for second-order discrete boundaryvalue problems with nonlocal boundary conditions are investigated, where the necessary and sufficient existence condition of discrete Green’s function is not satisfied and ...
Gailė Paukštaitė, Artūras Štikonas
doaj +1 more source
Solvability of the -Laplacian with nonlocal boundary conditions
Applied Mathematics and Computation, 2009 Sufficient conditions are obtained for the existence of at least one positive solution to a nonlinear boundary value problem with nonlocal linear boundary conditions \[ [\Phi(x'(t))]'+ c(t)(Fx)(t)= 0,\qquad t\in (0,1), \] \[ x(0)- L_0(x)= x(1)- L_1(x)= 0, \] where \(\Phi\) is an increasing homeomorphism of the real lline onto itself, \(F\) is a ...
openaire +2 more sources
Maximal regular boundary value problems in Banach-valued function spaces and applications
International Journal of Mathematics and Mathematical Sciences, 2006 The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint.
Veli B. Shakhmurov
doaj +1 more source