[PDF] Top 20 Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
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Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method
... The paper is organized as follows. In Section 2, we specify notations, state some inequalities and make the sense of the desired solution precise. In Section 3, we establish the uniqueness of the solution. ... See full document
15
Galerkin method applied to telegraph integro-differential equation with a weighted integral condition
... Numerical solutions are introduced to obtain approximations for the solution of partial differential equations when the analytical solutions are difficult or impossible to obtain due to complicated geometry or ... See full document
12
On the solvability of parabolic and hyperbolic problems with a boundary integral condition
... the existence, uniqueness, and the continuous dependence of a generalized so- lution upon the data of certain parabolic and hyperbolic equations with a boundary inte- gral ...analysis ... See full document
13
Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi point boundary condition via Caputo derivative
... the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence ... See full document
17
On decay and blow-up of solutions for a nonlinear beam equation with double damping terms
... a generalized solution to the problem ...global existence, the authors of [1] used the Galerkin ap- proximation method and the monotonicity method (see ...the existence and ... See full document
17
Cauchy problem of the generalized Zakharov type system in \(\mathbf{R}^{2}\)
... two-dimensional generalized Zakharov system with quantum effects. We prove the existence and uniqueness of global smooth solutions to the initial value problem in the Sobolev space through ... See full document
12
Existence and uniqueness of solutions for systems of fractional differential equations with Riemann–Stieltjes integral boundary condition
... an existence and uniqueness result for a class of systems of nonlinear operator equations under more general conditions by means of the cone theory and monotone iterative ...the existence and ... See full document
15
Existence and uniqueness of positive solutions for a fractional differential equation with integral boundary conditions
... Nowadays, fractional differential equations become more and more important. They play an important role in engineering, science,economics, and so on. More and more people pay attention to the study of theory and ... See full document
8
On existence and uniqueness of fractional integrodifferential equations with an integral fractional boundary condition
... of solutions of special forms of the equations ...the existence and unique- ness of solutions of special form of ...the existence and uniqueness of solution of nonlinear fractional ... See full document
7
Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition
... this equation. In particularly, authors concerned with the existence of solutions for ...Dirichlet boundary condition via Galerkin method, and built the variational ... See full document
8
Existence results for nonlinear fractional differential equation with nonlocal integral boundary conditions
... fractional integral boundary conditions and obtained some new existence and uniqueness results by using fixed point ...the existence of solutions for the multipoint ... See full document
12
Generalized finite difference/spectral Galerkin approximations for the time fractional telegraph equation
... fractional telegraph equation, as a typical diffusion-wave equation, is com- monly used in propagation of electrical signals [], random walk theory [], the neutron transport in nuclear reactor [], ... See full document
16
The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth
... alternative method involving the theory of semigroups of operators has also been used in several papers [5, 6, 15, ...enables existence and uniqueness results to be estab- lished for strongly ... See full document
14
On a powder consolidation problem
... an integral equation determining a free boundary corresponding to the height of the ...powder. Existence and uniqueness of a solution is ...numerical method based on a ... See full document
22
Existence result for neutral fractional integrodifferential equations with nonlocal integral boundary conditions
... with integral boundary conditions have various appli- cations in several applied fields such as blood flow problem, thermoelasticity, chemical engineering, underground water flow, cellular systems, heat ... See full document
7
Study on the existence of solutions for a generalized functional integral equation in L1 spaces
... However, the Krasnosel’skii fixed point theorem sometimes turns out to be restrictive for some equations due to the weak topology of the problem. In order to use this result and its variant, one has to find a self-mapped ... See full document
10
Existence of positive solutions for a third-order multipoint boundary value problem and extension to fractional case
... positive solutions by the Krasnoselskii and Leggett-Williams fixed point ...the existence and uniqueness of positive and nondecreasing solutions by using a fixed point theorem in partially ... See full document
11
New Exact Explicit Solutions of the Generalized Zakharov Equation via the First Integral Method
... In order to explore new analysis solutions to the system 1, we attempted to use the first integral method to solve the generalized Zakharov equation for the first time.. The rest of the [r] ... See full document
9
Uniqueness and stability of solutions without the boundary condition
... p-Laplacian equation needs to be subjected to the whole boundary condition ...Clearly, condition a(u, x, t)| x∈∂Ω = 0 excludes the usual evolutionary p-Laplacian equation, while ... See full document
17
Mixed problem with nonlocal boundary conditions for a third order partial differential equation of mixed type
... certain boundary value prob- lem of the theory of heat conduction with a nonclassical boundary condition], Differencial’nye Uravnenija 13 (1977), ... See full document
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