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Research Article Open access CC BY 3.0

A Nonlocal Boundary Value Mixed Problem for Second-order Hyperbolic-parabolic Equations in Nonclassical Function Spaces

DJIBIBE Moussa Zakari, TCHARIE Kokou

Journal of Advances in Mathematics and Computer Science · pp. 597–611 · Published 26 Nov 2013

10.9734/BJMCS/2014/6691

Abstract

Aims/ We use an energy method to solve a following boundary-value problem for hyperbolicparabolic equation with an integral condition :

Hyperbolic-Parabolic A priori Estimate Nonlocal conditions Mixed Problem.

References (10)

  1. 1 The One-Dimensional Heat Equation [DOI]
  2. 2 The solution of the heat equation subject to the specification of energy [DOI]
  3. 3 Mixed problem with boundary integral conditions for a certain parabolic equation [DOI]
  4. 4 Theorem about existence and uniqueness of continuous solution of nonlocal problem for nonlinear hyperbolic equation [DOI]
  5. 5 Existence and uniqueness of solutions of nonlocal problems for hyperbolic equation uxt = F(x, t, u, ux) [DOI]
  6. 6 Mixed problem with integral conditions for a third order parabolic equation [DOI]
  7. 7 On the solvability of a class of singular parabolic equations with nonlocal boundary conditions in nonclassical function spaces [DOI]
  8. 8 On the solvability of nonlocal pluriparabolic problems
  9. 9 Parabolic Equations with Nonlocal Conditions
  10. 10 Continuous Dependence of Solutions to Mixed Boundary Value Problems for a Parabolic Equation

Cited by 1

A new numerical method for parabolic fractional equation with purely nonlocal conditions

M. Z. Djibibe, K. Tcharie · Nonlinear Analysis and Differential Equations · 2019

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