Results 21 to 30 of about 68 (66)

Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
doaj   +1 more source

A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
doaj   +1 more source

Convolutional Calculus of Dimovski and QR-regularization of the Backward Heat Problem [PDF]

, 2015
The final value problem for the heat equation is known to be ill-posed. To deal with this, in the method of quasi-reversibility (QR), the equation or the final value condition is perturbed to form an approximate well-posed problem, depending on a small ...
Bazhlekova, Emilia
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Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints [PDF]

, 2010
MSC 2010: 44A35, 35L20, 35J05, 35J25In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact,
Tsankov, Yulian
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On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces [PDF]

, 2006
2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable ...
Abdelkefi, Chokri, Sifi, Mohamed
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Renewal Processes of Mittag-Leffler and Wright Type [PDF]

, 2005
2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05.After sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the ...
Gorenflo, Rudolf, R. Gorenflo, Vivoli, Alessandro, Mainardi, Francesco   +3 more
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Mean-Periodic Functions Associated with the Jacobi-Dunkl Operator on R [PDF]

, 2006
2000 Mathematics Subject Classification: 34K99, 44A15, 44A35, 42A75, 42A63Using a convolution structure on the real line associated with the Jacobi-Dunkl differential-difference operator Λα,β given by: Λα,βf(x) = f'(x) + ((2α + 1) coth x + (2β + 1) tanh
Selmi, B., Ben Salem, N., Ould Ahmed Salem, A.   +2 more
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Exact Solutions of Nonlocal BVPs for the Multidimensional Heat Equations [PDF]

, 2012
MSC 2010: 44A35, 44A45, 44A40, 35K20, 35K05In this paper a method for obtaining exact solutions of the multidimensional heat equations with nonlocal boundary value conditions in a finite space domain with time-nonlocal initial condition is developed. One
Tsankov, Yulian, Dimovski, Ivan
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Nonlocal Operational Calculi for Dunkl Operators

, 2008
2000 Mathematics Subject Classification: 44A40; 44A35 ...
Dimovski, Ivan H., Hristov, Valentin Z.
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Точни решения на задачата на Бицадзе-Самарски и някои обобщения

, 2010
[Dimovski Ivan H.; Димовски Иван Х.]; [Tsankov Yulian Ts.; Цанков Юлиан Ц.]Mathematics Subject Classification (2000): 44A35, 35L20, 35J05 ...
Dimovski, Ivan H., Tsankov, Yulian Ts.
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