In this article we study a nonlinear parabolic system with nonlinear nonlocal boundary conditions. We prove the uniqueness of the solutions and establish the conditions for global solutions and non-global solutions.
Zhou Sen, Zuodong Yang
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Existence of Solutions of Nonlinear Differential Equations with Nonlocal Conditions
Mouffak Benchohra, Sotiris K. Ntouyas
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NONLOCAL BOUNDARY CONDITIONS FOR THE NAVIER–STOKES EQUATIONS [PDF]
Maria Carmela Lombardo, M. Sammartino
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Numerical solutions of reaction–diffusion equations with nonlocal boundary conditions
C. V. Pao
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Regularity of the Eikonal Equation with Neumann Boundary Conditions in the Plane: Application to Fronts with Nonlocal Terms [PDF]
Pierre Cardaliaguet, Claudio Marchi
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STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS
Raimondas Čiegis +3 more
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Multivalued evolution equations with nonlocal initial conditions in Banach spaces [PDF]
Sergiu Aizicovici, Vasile Staicu
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Hyperbolic functional differential inclusions in Banach spaces with nonlocal conditions
M. Benchohra, Sotiris K. Ntouyas
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On a Class of Nonlinear Hyperbolic Systems with Nonlocal Boundary Conditions
Rodica Luca
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How to Approximate the Heat Equation with Neumann Boundary Conditions by Nonlocal Diffusion Problems [PDF]
Carmen Cortázar +3 more
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