[PDF] Top 20 On the solvability of parabolic and hyperbolic problems with a boundary integral condition
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On the solvability of parabolic and hyperbolic problems with a boundary integral condition
... mixed problems, which involve integral(s) over the spatial domain of a function of the desired ...of integral terms in boundary conditions can, in general, greatly complicate the application ... See full document
13
Solvability of boundary value problems with Riemann Stieltjes Δ integral conditions for second order dynamic equations on time scales at resonance
... = t we obtain the Riemann sums for delta integral. We note that for a general g the image g(I) is not necessarily an interval in the classical sense, even for rd-continuous function g, because our interval I may ... See full document
18
Nonlocal boundary value hyperbolic problems involving integral conditions
... nonlocal boundary value problem with integral conditions for hyperbolic ...nonlocal boundary problem () in a Hilbert space H with a self-adjoint positive definite operator A, Theo- rem ... See full document
10
Determination of the unknown boundary condition of the inverse parabolic problems via semigroup method
... initial- boundary value problems () and () imply that the integral representation () becomes the integral representation of a solution of the initial-boundary value problem () on T ... See full document
7
On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator
... of boundary value problems with boundary operators of high order were studied for the Laplace ...the solvability have been established and the integral representations of solutions of ... See full document
13
Solvability of triple point integral boundary value problems for a class of impulsive fractional differential equations
... The rest of this paper is organized as follows. In Section , we shall introduce some definitions and lemmas to prove our main results. In Section , we give some sufficient conditions for the existence of single positive ... See full document
19
Solvability of the analogs of the problem Tricomi for the mixed type loaded equations with parabolic-hyperbolic operators
... unique solvability of the analog of the Tricomi problem for the third order loaded differential and integro-differential equations with parabolic-hyperbolic operators is ...the integral ... See full document
12
On explicit and numerical solvability of parabolic initial-boundary value problems
... homogeneous boundary conditions, the operator ∂/∂t + A generates an isomorphism between anisotropic Sobolev spaces with an explicit formula for the inverse ... See full document
12
On the Volterra property of a boundary problem with integral gluing condition for a mixed parabolic-hyperbolic equation
... a boundary value problem with gluing conditions of an integral form for the parabolic-hyperbolic type ...the integral equations and functional ... See full document
14
Solvability of multi-point value problems with integral condition at resonance
... local condition appears in physi- cal science and applied ...of boundary value problems with integral condition is found in deferent areas like applied mathematics and applied physics ... See full document
11
Solvability of integral boundary value problems at resonance in \(R^{n}\)
... of integral boundary value problems for ordinary differential equations or fractional differential equations has been well studied; we refer the reader to [4, 10, 17, 20, 21, 24, 25, 29–35, 37] for ... See full document
19
Identification of the unknown boundary condition in a linear parabolic equation
... initial- boundary value problems () and () imply that integral representation () becomes the integral representation of a solution of the initial-boundary value problem () on T ... See full document
7
Discontinuous Parabolic Problems with a Nonlocal Initial Condition
... study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial ...function, integral representation of solutions, the method of upper and lower solutions, and ... See full document
10
Solvability for fractional order boundary value problems at resonance
... Recently, boundary value problems (BVPs for short) for fractional differential equa- tions at nonresonance have been studied in many papers (see [10-16]). Moreover, Kos- matov studied the BVPs for ... See full document
10
On the Solvability of Nonlinear Boundary Value Problems on Time Scales
... Chapter 4 is devoted to the study of nonlinear scalar two-point boundary value problems where the corresponding linear homogeneous boundary value problem has a one dimensional solution space. Through ... See full document
73
On the Solvability of Nonlinear Discrete Multipoint Boundary Value Problems
... Multipoint boundary value problems can occur in a variety of ...boundary condition. To illustrate the scope of these types of boundary conditions, observe that periodic solutions to ... See full document
62
On a nonlinear degenerate evolution equation with strong damping
... Global Solvability of Boundary Value Problem for a Class of Quasilinear Hyperbolic Equations, Sib.. On The Strongly Damped Wave Equation u" Au Au’ + Fu O, SIAMJ.[r] ... See full document
10
Solvability of Sturm-Liouville boundary value problems with impulses
... In this paper, we consider a kind of Sturm-Liouville boundary value problems with impulsive effects. By using the mountain pass theorem and Ekeland’s variational principle, the existence of two positive ... See full document
14
Peripheral splittings of groups
... We now apply the standard Kneser-Dunwoody argument. Recall that a band in a simplicial 2-complex is a “thickened-up track”, or more precisely, a compact connected subset disjoint from the vertex set which meets each ... See full document
26
Well-posedness of a parabolic equation with nonlocal boundary condition
... Therefore, applying the triangle inequality, estimate (), we get estimate (). Second, let a(x) satisfy a Hölder condition on the segment [, l] and a(x) ≥ δ > . We will use the method of frozen coefficients. ... See full document
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