A Class of Nonlocal Coupled Semilinear Parabolic System with Nonlocal Boundaries
We investigate the positive solutions of the semilinear parabolic system with coupled nonlinear nonlocal sources subject to weighted nonlocal Dirichlet boundary conditions. The blow-up and global existence criteria are obtained.
Hong Liu, Haihua Lu
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This paper is concerned with a nonlocal reaction-diffusion equation with the nonlocal source and interior absorption with Dirichlet conditions or Neumann conditions.
Jiashan Zheng
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Maximal regular boundary value problems in Banach-valued function spaces and applications
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
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Functional differential equations with nonlocal initial conditions [PDF]
Sergiu Aizicovici, Yun Gao
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Role of boundary conditions in convergence and nonlocality of solutions to stochastic flow problems in bounded domains [PDF]
F. Alejandro Bonilla, John H. Cushman
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Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments
We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments.
Juan J. Nieto, Rosana Rodríguez-López
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On a class of nonclassical hyperbolic equations with nonlocal conditions [PDF]
Abdelfatah Bouziani
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Mixed problem with nonlocal boundary conditions for a third-order partial differential equation of mixed type [PDF]
M. Denche, A. L. Marhoune
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EXISTENCE RESULTS ON SEMIINFINITE INTERVALS FOR FUNCTIONAL-DIFFERENTIAL AND INTEGRODIFFERENTIAL INCLUSIONS IN BANACH SPACES WITH NONLOCAL CONDITIONS [PDF]
Mouffak Benchohra, Sotiris K. Ntouyas
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Positive solutions of a boundary value problem with integral boundary conditions
We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters $mu^*, lambda ...
Jeff R. L. Webb
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