label: url

en: Connectivity keeping trees in 2-connected graphs

en: Journal of Graph Theory

ja: Journal of Graph Theory


en: Global existence and decay estimates for nonlinear degenerate Kirchhoff strings with dissipation

en: Advances in Mathematical Sciences and Applications


en: Lower decay estimates for non-degenerate dissipative wave equations of Kirchhoff type

en: Scientiae Mathematicae Japonicae

ja: Scientiae Mathematicae Japonicae


en: Global existence and decay properties of solutions for coupled degenerate dissipative hyperbolic systems of Kirchhoff type

en: Funkcialaj Ekvacioj

ja: Funkcialaj Ekvacioj


en: Decay estimates of solutions for mildly degenerate Kirchhoff type dissipative wave equations in unbounded domains

en: Asymptotic Analysis

ja: Asymptotic Analysis


en: On decay estimates of solutions for some degenerate nonlinear Kirchhoff strings with dissipation

en: International Journal of Applied Mathematics


en: Global Existence and Decay Rate for a Coupled Degenerate Hyperbolic System with Dissipation


en: Decay Estimates for Coupled Degenerate Hyperbolic System with Strong Damping

ja: International Journal of Applied Mathematics


en: On sharp decay estimates of solutions for mildly degenerate dissipative wave equations of Kirchhoff type

en: Mathematical Methods in the Applied Sciences


en: On Decay Properties of Solutions for Degenerate Strongly Damped Wave equations of Kirchhoff Type

en: Journal of Mathematical Analysis and Applications


en: L1 estimates for dissipative wave equations in exterior domains

ja: Journal of Mathematical Analysis and Applications


en: Global Solvability and Lp Decay for the Semilinear Dissipative Wave Equations in Four and Five Dimensions


en: On L^1 estimates for solutions of dissipative wave equations

en: Nonlinear Analysis: Theory, Methods & Applications


en: Lp decay problem for the dissipative wave equation in odd dimensions


en: L^1 estimates for dissipative wave equations in highter dimensions

en: RIMS Kokyuroku

ja: RIMS Kokyuroku


en: L^p decay problem for the dissipative wave equation in even dimensions

ja: Mathematical Methods in the Applied Sciences


en: Decay estimates for dissipative wave equations in exterior domains


en: Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations

en: Discrete and Continuous Dynamical Systems. Series A


en: On L1 decay problem for the dissipative wave equation


en: Global existence of regular solutions for the Vlasov--Poisson--Fokker--Planck system


en: Asymptotic behavior for the Vlasov--Poisson--Fokker--Planck system and the collision-less Vlasov--Poisson system

ja: Nonlinear Analysis: Theory, Methods & Applications


en: On the global existence and decay of solutions for semilinear telegraph equations

en: International Journal of Applied Mathematics


en: Regular solutions of the Vlasov--Poisson--Fokker--Planck system

ja: Discrete and Continuous Dynamical Systems. Series A


en: Asymptotic behavior for degenerate nonlinear Kirchhoff type equations with damping

en: Funkcialaj Ekvacioj


en: Global existence, asymptotic behavior, and global non-existence of solutions for damped nonlinear wave equations of Kirchhoff type in the whole space

en: Mathematical Methods in the Applied Sciences


en: Global solvability for degenerate Kirchhoff equations with weak dissipation

en: Mathematica Japonica

ja: Mathematica Japonica


en: The time decay to the Cauchy problem for semilinear dissipative wave equations

en: Advances in Mathematical Sciences and Applications


en: Asymptiotic behavior of solutions for damped Kirchhoff equations in unbounded domain

en: Communications in Applied Analysis

ja: Communications in Applied Analysis


en: On global existence and asymptotic stability of solutions of mildly degenerate dissipative nonlinear wave equations of Kirchhoff type

en: Asymptotic Analysis


en: Asymptotic behavior of solutions of dissipative nonlinear wave equations with large data

en: Eighth International Colloquium on Differential Equations

volume: I


en: On global solutions and blow-up solutions of nonlinear Kirchhoff strings with nonlinear dissipation

en: Journal of Mathematical Analysis and Applications


en: Blowing up and global existence of solutions for some degenerate nonlinear wave equations with some dissipation

en: Nonlinear Analysis: Theory, Methods & Applications


en: Sharp decay estimates of solutions for mildly degenerate dissipative Kirchhoff equations

en: Kyushu Journal of Mathematics

ja: Kyushu Journal of Mathematics


en: Remark on blowing up phenomena for nonlinear Kirchhoff strings


en: Global existence and decay properties of solutions for some mildly degenerate nonlinear dissipative Kirchhoff strings

en: Funkcialaj Ekvacioj


en: Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings

en: Journal of Differential Equations

ja: Journal of Differential Equations


en: Mildly degenerate Kirchhoff equations with damping in unbounded domain

en: Applicable Analysis

ja: Applicable Analysis


en: On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with a strong dissipation

en: Mathematical Methods in the Applied Sciences


en: Global existence to the Cauchy problem of the semilinear wave equation with a nonlinear dissipation


en: On the decay property of solutions to the Cauchy problem of the semilinear wave equation with a dissipative term

en: Journal of Mathematical Society of Japan


en: On a nonlinear degenerate integrodifferential equation of hyperbolic type with a strong dissipation

en: Advances in Mathematical Sciences and Applications


en: A stretched string equation with a boundary dissipation


en: Asymptotic behaviors of solutions of some nonlinear oscillation equations with strong damping

ja: Advances in Mathematical Sciences and Applications


en: On time decays for some semilinear wave equation with a dissipative term

en: Pusan Kyongnam Mathematical Journal

ja: Pusan Kyongnam Mathematical Journal


en: Existence of global solutions to the Cauchy problem for the semilinear dissipative wave equations

en: Mathematische Zeitschrift

ja: Mathematische Zeitschrift


en: On global smooth solution for the quashi-linear wave equation with a dissipation

en: Memoirs of the Faculty of Science, Kyushu University Ser.A


en: On asymptotic forms of solutions for Lanchester type differential equations with time dependent coefficients

en: Journal of Mathematics, The University of Tokushima


en: Asymptotic properties of solutions for Lanchester type models with time dependent coefficients

ja: Journal of Mathematics, The University of Tokushima


en: Decay Properties for Mildly Degenerate Kirchhoff Type Dissipative Wave Equations in Bounded Domains


en: Global Solvability for Mildly Degenerate Kirchhoff Type Dissipative Wave Equations in Bounded Domains

en: Consider the initial boundary value problem for degenerate dissipative wave equations of Kirchhoff type. When the wave coefficient ϱ > 0 or the initial energy E(0) is small, we show the global existence theorem.


en: Decay rates of solutions for non-degenerate Kirchhoff type dissipative wave equations

en: Consider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with the initial data belonging to (H2(RN)∩L1(RN))×(H1(RN)∩L1(RN)). Using the Fourier transform method in the L2 ∩ L1-frame, we can improve the decay rates of the energies given by the energy method of the L2-frame.


en: Upper decay estimates for non-degenerate Kirchhoff type dissipative wave equations

en: We study on the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ϱu′′ + a (||A1/2u(t)||2) Au + u′ = 0 and (u(0), u′(0)) = (u0, u1), where u0 ≠ 0 and the nonlocal nonlinear term a(M) = 1+Mγ with γ > 0. Under the suitably smallness condition, we derive the upper decay estimates of the solution u(t) for the case of 0 < γ < 1 in addition to γ ≥ 1.


en: Lower decay estimates for non-degenerate Kirchhoff type dissipative wave equations


en: Asymptotic behavior of solutions for Kirchhoff type dissipative wave equations in unbounded domains

en: Consider the Cauchy problem for the non-degenerate Kirchhoff type dissipative wave equations with the initial data belonging to H2(RN)×H1(RN) in unbounded domains. When the coefficient ϱ or the initial energy E(0) is small at least, we show the global existence theorem and derive decay estimates of energies in the L2-frame. Moreover, when the initial data belong to L1(RN)×L1(RN) in addition, we improve the decay rates of the solutions.


en: On global solvability for some degenerate dissipative nonlinear Kirchhoff strings

en: Consider the initial boundary value problem for degenerate dissipative wave equations of Kirchhoff type with attractive force terms.We are interested in the case of 0 < γ < 1 for the degeneracy of nonlinear term Φ(r) = rγ. We prove the global solvability problem, provided that the initial data belong to the potential well and satisfy a suitable smallness condition. Moreover, we derive optimal decay estimates of the solutions.


en: Time decay for some degenerate hyperbolic systems with strong dissipations


en: On existence of global solutions for some mildly degenerate nonlinear Kirchhoff strings with linear dissipation


en: Energy Decay for a dissipative wave equation with compactly supported data

en: Consider the Cauchy problem for the dissipative wave equation :utt - Δu + u = 0, u = u(x; t) in RN × (0,∞) with u(x,0) = u0(x)and ut(x,0) = u1(x). If {u0,u1} are compactly supported datafrom the energy space, then there exists a domain Xm in RN suchthat {x ∈ RN||x| ≥ t1/2+δ} ⊊ Xm for large t ≥ 0 and∫Xm(|ut| +|∇u|2) dx ≤ C(1 + t)-m with m > 0 for t ≥ 0, and moreover, ifu0 + u1 = 0, then∫Xm|u|2 dx ≤ C(1 + t)-m for t ≥ 0.


en: On decay properties of solutions for the Vlasov--Poisson system

en: We study decay properties of solutions to the Cauchy problemfor the collision-less Vlasov–Poisson system which appears Vlasovplasma physics and stems from Liouville's equation coupled withPoisson's equation for the determining the self-consistent electrostaticsor gravitational forces.

en: Journal of Mathematics, The University of Tokushima


en: On the blowup problem for nonlinear Kirchhoff equations with nonlinear dissipative terms

en: Journal of Mathematics, Tokushima University


en: Asymptotic behavior of solutions for semilinear telegraph equations

ja: Journal of Mathematics, Tokushima University


en: Blowup phenomena for nonlinear dissipative wave equations


en: Global existence and decay properties of solutions for some degenerate nonlinear wave equation with a strong dissipation