Generalized Bihari type integral inequalities and the corresponding integral equations.
Generalized Convolution Transforms and Toeplitz Plus Hankel Integral Equations
Mathematics Subject Classification: 44A05, 44A35With the help of a generalized convolution and prove Watson’s and Plancherel’s theorems. Using generalized convolutions a class of Toeplitz plus Hankel integral equations, and also a system of integro-differential equations are solved in closed form.
Generalized n-dimensional Gronwall's inequality and its applications to non-selfadjoint and non-linear hyperbolic equations
Generalized Product Theorem for the Mellin Transform and Its Applications
Generalized solutions of Volterra integral equations of the first kind.
Generalized solutions of Volterra integral equations of the first kind.
Generalized Volterra integral equations
Generic properties of infinite system of integral equations in Banach spaces
Global and non-global existence of solutions to a nonlocal and degenerate quasilinear parabolic system
The paper deals with positive solutions of a nonlocal and degenerate quasilinear parabolic system not in divergence form with null Dirichlet boundary conditions. By using the standard approximation method, we first give a series of fine a priori estimates for the solution of the corresponding approximate problem. Then using the diagonal method, we get the local existence and the bounds of the solution to this problem. Moreover, a necessary and sufficient condition for the non-global existence...
Global classical solutions to the Cauchy problem for a nonlinear wave equation.
Global error estimation in the numerical solution of integro-differential equations by Euler's method
Global existence and blow-up solutions and blow-up estimates for some evolution systems with -Laplacian with nonlocal sources.
Global existence and controllability to a stochastic integro-differential equation.
Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping
A viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping is considered. Using integral inequalities and multiplier techniques we establish polynomial decay estimates for the energy of the problem. The results obtained in this paper extend previous results by Tatar and Zaraï [25].
Global existence for a hyperbolic integrodifferential inverse problem.
Global existence for a semilinear prabolic Volterra equation.
Global existence for a system of nonlocal PDEs with applications to chemically reacting incompressible fluids
We show global existence for a class of models of fluids that change their properties depending on the concentration of a chemical. We allow that the stress tensor in (t, x) depends on the velocity and concentration at other points and times. The example we have in mind foremost are materials with memory.
Global existence for functional semilinear integro-differential equations
In this paper, we study the global existence of solutions for first and second order initial value problems for functional semilinear integrodifferential equations in Banach space, by using the Leray-Schauder Alternative or the Nonlinear Alternative for contractive maps.
Global existence for second-order functional semilinear integrodifferential equations
Global existence for the conserved phase field model with memory and quadratic nonlinearity.